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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 = -55 -5x = -55 Divide each side by '-5'. x = 11 Simplifying x = 11
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