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Simplifying 5(x + 1) = 2(x + -2) + -1 Reorder the terms: 5(1 + x) = 2(x + -2) + -1 (1 * 5 + x * 5) = 2(x + -2) + -1 (5 + 5x) = 2(x + -2) + -1 Reorder the terms: 5 + 5x = 2(-2 + x) + -1 5 + 5x = (-2 * 2 + x * 2) + -1 5 + 5x = (-4 + 2x) + -1 Reorder the terms: 5 + 5x = -4 + -1 + 2x Combine like terms: -4 + -1 = -5 5 + 5x = -5 + 2x Solving 5 + 5x = -5 + 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 = -5 + 2x + -2x Combine like terms: 5x + -2x = 3x 5 + 3x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 3x = -5 + 0 5 + 3x = -5 Add '-5' to each side of the equation. 5 + -5 + 3x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -5 + -5 3x = -5 + -5 Combine like terms: -5 + -5 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333
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