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Simplifying 5x + -30 + -2x + 17 = 4(x + -2) + -3(3 + -2x) + -1(3x + 44) Reorder the terms: -30 + 17 + 5x + -2x = 4(x + -2) + -3(3 + -2x) + -1(3x + 44) Combine like terms: -30 + 17 = -13 -13 + 5x + -2x = 4(x + -2) + -3(3 + -2x) + -1(3x + 44) Combine like terms: 5x + -2x = 3x -13 + 3x = 4(x + -2) + -3(3 + -2x) + -1(3x + 44) Reorder the terms: -13 + 3x = 4(-2 + x) + -3(3 + -2x) + -1(3x + 44) -13 + 3x = (-2 * 4 + x * 4) + -3(3 + -2x) + -1(3x + 44) -13 + 3x = (-8 + 4x) + -3(3 + -2x) + -1(3x + 44) -13 + 3x = -8 + 4x + (3 * -3 + -2x * -3) + -1(3x + 44) -13 + 3x = -8 + 4x + (-9 + 6x) + -1(3x + 44) Reorder the terms: -13 + 3x = -8 + 4x + -9 + 6x + -1(44 + 3x) -13 + 3x = -8 + 4x + -9 + 6x + (44 * -1 + 3x * -1) -13 + 3x = -8 + 4x + -9 + 6x + (-44 + -3x) Reorder the terms: -13 + 3x = -8 + -9 + -44 + 4x + 6x + -3x Combine like terms: -8 + -9 = -17 -13 + 3x = -17 + -44 + 4x + 6x + -3x Combine like terms: -17 + -44 = -61 -13 + 3x = -61 + 4x + 6x + -3x Combine like terms: 4x + 6x = 10x -13 + 3x = -61 + 10x + -3x Combine like terms: 10x + -3x = 7x -13 + 3x = -61 + 7x Solving -13 + 3x = -61 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -13 + 3x + -7x = -61 + 7x + -7x Combine like terms: 3x + -7x = -4x -13 + -4x = -61 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + -4x = -61 + 0 -13 + -4x = -61 Add '13' to each side of the equation. -13 + 13 + -4x = -61 + 13 Combine like terms: -13 + 13 = 0 0 + -4x = -61 + 13 -4x = -61 + 13 Combine like terms: -61 + 13 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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