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