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Simplifying 2x + -1(x + -3) = 5x + -3(x + -2) Reorder the terms: 2x + -1(-3 + x) = 5x + -3(x + -2) 2x + (-3 * -1 + x * -1) = 5x + -3(x + -2) 2x + (3 + -1x) = 5x + -3(x + -2) Reorder the terms: 3 + 2x + -1x = 5x + -3(x + -2) Combine like terms: 2x + -1x = 1x 3 + 1x = 5x + -3(x + -2) Reorder the terms: 3 + 1x = 5x + -3(-2 + x) 3 + 1x = 5x + (-2 * -3 + x * -3) 3 + 1x = 5x + (6 + -3x) Reorder the terms: 3 + 1x = 6 + 5x + -3x Combine like terms: 5x + -3x = 2x 3 + 1x = 6 + 2x Solving 3 + 1x = 6 + 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. 3 + 1x + -2x = 6 + 2x + -2x Combine like terms: 1x + -2x = -1x 3 + -1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -1x = 6 + 0 3 + -1x = 6 Add '-3' to each side of the equation. 3 + -3 + -1x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 6 + -3 -1x = 6 + -3 Combine like terms: 6 + -3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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