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Simplifying 4(2x + -3) + -1(x + 7) + -4x + 6 = 5(x + -2) + -3x + 7(2x + 2) Reorder the terms: 4(-3 + 2x) + -1(x + 7) + -4x + 6 = 5(x + -2) + -3x + 7(2x + 2) (-3 * 4 + 2x * 4) + -1(x + 7) + -4x + 6 = 5(x + -2) + -3x + 7(2x + 2) (-12 + 8x) + -1(x + 7) + -4x + 6 = 5(x + -2) + -3x + 7(2x + 2) Reorder the terms: -12 + 8x + -1(7 + x) + -4x + 6 = 5(x + -2) + -3x + 7(2x + 2) -12 + 8x + (7 * -1 + x * -1) + -4x + 6 = 5(x + -2) + -3x + 7(2x + 2) -12 + 8x + (-7 + -1x) + -4x + 6 = 5(x + -2) + -3x + 7(2x + 2) Reorder the terms: -12 + -7 + 6 + 8x + -1x + -4x = 5(x + -2) + -3x + 7(2x + 2) Combine like terms: -12 + -7 = -19 -19 + 6 + 8x + -1x + -4x = 5(x + -2) + -3x + 7(2x + 2) Combine like terms: -19 + 6 = -13 -13 + 8x + -1x + -4x = 5(x + -2) + -3x + 7(2x + 2) Combine like terms: 8x + -1x = 7x -13 + 7x + -4x = 5(x + -2) + -3x + 7(2x + 2) Combine like terms: 7x + -4x = 3x -13 + 3x = 5(x + -2) + -3x + 7(2x + 2) Reorder the terms: -13 + 3x = 5(-2 + x) + -3x + 7(2x + 2) -13 + 3x = (-2 * 5 + x * 5) + -3x + 7(2x + 2) -13 + 3x = (-10 + 5x) + -3x + 7(2x + 2) Reorder the terms: -13 + 3x = -10 + 5x + -3x + 7(2 + 2x) -13 + 3x = -10 + 5x + -3x + (2 * 7 + 2x * 7) -13 + 3x = -10 + 5x + -3x + (14 + 14x) Reorder the terms: -13 + 3x = -10 + 14 + 5x + -3x + 14x Combine like terms: -10 + 14 = 4 -13 + 3x = 4 + 5x + -3x + 14x Combine like terms: 5x + -3x = 2x -13 + 3x = 4 + 2x + 14x Combine like terms: 2x + 14x = 16x -13 + 3x = 4 + 16x Solving -13 + 3x = 4 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -13 + 3x + -16x = 4 + 16x + -16x Combine like terms: 3x + -16x = -13x -13 + -13x = 4 + 16x + -16x Combine like terms: 16x + -16x = 0 -13 + -13x = 4 + 0 -13 + -13x = 4 Add '13' to each side of the equation. -13 + 13 + -13x = 4 + 13 Combine like terms: -13 + 13 = 0 0 + -13x = 4 + 13 -13x = 4 + 13 Combine like terms: 4 + 13 = 17 -13x = 17 Divide each side by '-13'. x = -1.307692308 Simplifying x = -1.307692308
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