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Simplifying 5(x + -8) = 2x + -7 + 8(x + -1) Reorder the terms: 5(-8 + x) = 2x + -7 + 8(x + -1) (-8 * 5 + x * 5) = 2x + -7 + 8(x + -1) (-40 + 5x) = 2x + -7 + 8(x + -1) Reorder the terms: -40 + 5x = 2x + -7 + 8(-1 + x) -40 + 5x = 2x + -7 + (-1 * 8 + x * 8) -40 + 5x = 2x + -7 + (-8 + 8x) Reorder the terms: -40 + 5x = -7 + -8 + 2x + 8x Combine like terms: -7 + -8 = -15 -40 + 5x = -15 + 2x + 8x Combine like terms: 2x + 8x = 10x -40 + 5x = -15 + 10x Solving -40 + 5x = -15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -40 + 5x + -10x = -15 + 10x + -10x Combine like terms: 5x + -10x = -5x -40 + -5x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 -40 + -5x = -15 + 0 -40 + -5x = -15 Add '40' to each side of the equation. -40 + 40 + -5x = -15 + 40 Combine like terms: -40 + 40 = 0 0 + -5x = -15 + 40 -5x = -15 + 40 Combine like terms: -15 + 40 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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