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Simplifying (x + 2) * 5 = -1(x + 8) Reorder the terms: (2 + x) * 5 = -1(x + 8) Reorder the terms for easier multiplication: 5(2 + x) = -1(x + 8) (2 * 5 + x * 5) = -1(x + 8) (10 + 5x) = -1(x + 8) Reorder the terms: 10 + 5x = -1(8 + x) 10 + 5x = (8 * -1 + x * -1) 10 + 5x = (-8 + -1x) Solving 10 + 5x = -8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 5x + x = -8 + -1x + x Combine like terms: 5x + x = 6x 10 + 6x = -8 + -1x + x Combine like terms: -1x + x = 0 10 + 6x = -8 + 0 10 + 6x = -8 Add '-10' to each side of the equation. 10 + -10 + 6x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = -8 + -10 6x = -8 + -10 Combine like terms: -8 + -10 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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