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Simplifying 5x + -2(x + -1) = 5(x + 2) Reorder the terms: 5x + -2(-1 + x) = 5(x + 2) 5x + (-1 * -2 + x * -2) = 5(x + 2) 5x + (2 + -2x) = 5(x + 2) Reorder the terms: 2 + 5x + -2x = 5(x + 2) Combine like terms: 5x + -2x = 3x 2 + 3x = 5(x + 2) Reorder the terms: 2 + 3x = 5(2 + x) 2 + 3x = (2 * 5 + x * 5) 2 + 3x = (10 + 5x) Solving 2 + 3x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 3x + -5x = 10 + 5x + -5x Combine like terms: 3x + -5x = -2x 2 + -2x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -2x = 10 + 0 2 + -2x = 10 Add '-2' to each side of the equation. 2 + -2 + -2x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 10 + -2 -2x = 10 + -2 Combine like terms: 10 + -2 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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