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Simplifying -29 = -5(x + -1) + 8(x + -5) Reorder the terms: -29 = -5(-1 + x) + 8(x + -5) -29 = (-1 * -5 + x * -5) + 8(x + -5) -29 = (5 + -5x) + 8(x + -5) Reorder the terms: -29 = 5 + -5x + 8(-5 + x) -29 = 5 + -5x + (-5 * 8 + x * 8) -29 = 5 + -5x + (-40 + 8x) Reorder the terms: -29 = 5 + -40 + -5x + 8x Combine like terms: 5 + -40 = -35 -29 = -35 + -5x + 8x Combine like terms: -5x + 8x = 3x -29 = -35 + 3x Solving -29 = -35 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -29 + -3x = -35 + 3x + -3x Combine like terms: 3x + -3x = 0 -29 + -3x = -35 + 0 -29 + -3x = -35 Add '29' to each side of the equation. -29 + 29 + -3x = -35 + 29 Combine like terms: -29 + 29 = 0 0 + -3x = -35 + 29 -3x = -35 + 29 Combine like terms: -35 + 29 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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