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Simplifying 5(x + -3) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7 + 4x + -16 + -5x) + 8 + -2x Reorder the terms: 5(-3 + x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7 + 4x + -16 + -5x) + 8 + -2x (-3 * 5 + x * 5) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7 + 4x + -16 + -5x) + 8 + -2x (-15 + 5x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7 + 4x + -16 + -5x) + 8 + -2x -15 + 5x + (2 * 7 + -1x * 7) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7 + 4x + -16 + -5x) + 8 + -2x -15 + 5x + (14 + -7x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7 + 4x + -16 + -5x) + 8 + -2x Reorder the terms: -15 + 5x + 14 + -7x + -4(7 + 2x) + -3x + 2 = 11 + -8(x + -7 + 4x + -16 + -5x) + 8 + -2x -15 + 5x + 14 + -7x + (7 * -4 + 2x * -4) + -3x + 2 = 11 + -8(x + -7 + 4x + -16 + -5x) + 8 + -2x -15 + 5x + 14 + -7x + (-28 + -8x) + -3x + 2 = 11 + -8(x + -7 + 4x + -16 + -5x) + 8 + -2x Reorder the terms: -15 + 14 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7 + 4x + -16 + -5x) + 8 + -2x Combine like terms: -15 + 14 = -1 -1 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7 + 4x + -16 + -5x) + 8 + -2x Combine like terms: -1 + -28 = -29 -29 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7 + 4x + -16 + -5x) + 8 + -2x Combine like terms: -29 + 2 = -27 -27 + 5x + -7x + -8x + -3x = 11 + -8(x + -7 + 4x + -16 + -5x) + 8 + -2x Combine like terms: 5x + -7x = -2x -27 + -2x + -8x + -3x = 11 + -8(x + -7 + 4x + -16 + -5x) + 8 + -2x Combine like terms: -2x + -8x = -10x -27 + -10x + -3x = 11 + -8(x + -7 + 4x + -16 + -5x) + 8 + -2x Combine like terms: -10x + -3x = -13x -27 + -13x = 11 + -8(x + -7 + 4x + -16 + -5x) + 8 + -2x Reorder the terms: -27 + -13x = 11 + -8(-7 + -16 + x + 4x + -5x) + 8 + -2x Combine like terms: -7 + -16 = -23 -27 + -13x = 11 + -8(-23 + x + 4x + -5x) + 8 + -2x Combine like terms: x + 4x = 5x -27 + -13x = 11 + -8(-23 + 5x + -5x) + 8 + -2x Combine like terms: 5x + -5x = 0 -27 + -13x = 11 + -8(-23 + 0) + 8 + -2x -27 + -13x = 11 + -8(-23) + 8 + -2x Multiply -8 * -23 -27 + -13x = 11 + 184 + 8 + -2x Combine like terms: 11 + 184 = 195 -27 + -13x = 195 + 8 + -2x Combine like terms: 195 + 8 = 203 -27 + -13x = 203 + -2x Solving -27 + -13x = 203 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -27 + -13x + 2x = 203 + -2x + 2x Combine like terms: -13x + 2x = -11x -27 + -11x = 203 + -2x + 2x Combine like terms: -2x + 2x = 0 -27 + -11x = 203 + 0 -27 + -11x = 203 Add '27' to each side of the equation. -27 + 27 + -11x = 203 + 27 Combine like terms: -27 + 27 = 0 0 + -11x = 203 + 27 -11x = 203 + 27 Combine like terms: 203 + 27 = 230 -11x = 230 Divide each side by '-11'. x = -20.90909091 Simplifying x = -20.90909091
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