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