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Simplifying -5(x + 1) = 2(x + 8) Reorder the terms: -5(1 + x) = 2(x + 8) (1 * -5 + x * -5) = 2(x + 8) (-5 + -5x) = 2(x + 8) Reorder the terms: -5 + -5x = 2(8 + x) -5 + -5x = (8 * 2 + x * 2) -5 + -5x = (16 + 2x) Solving -5 + -5x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + -5x + -2x = 16 + 2x + -2x Combine like terms: -5x + -2x = -7x -5 + -7x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -7x = 16 + 0 -5 + -7x = 16 Add '5' to each side of the equation. -5 + 5 + -7x = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 16 + 5 -7x = 16 + 5 Combine like terms: 16 + 5 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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