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Simplifying 5x + -3(x + -2) = 3x + -2(x + -1) Reorder the terms: 5x + -3(-2 + x) = 3x + -2(x + -1) 5x + (-2 * -3 + x * -3) = 3x + -2(x + -1) 5x + (6 + -3x) = 3x + -2(x + -1) Reorder the terms: 6 + 5x + -3x = 3x + -2(x + -1) Combine like terms: 5x + -3x = 2x 6 + 2x = 3x + -2(x + -1) Reorder the terms: 6 + 2x = 3x + -2(-1 + x) 6 + 2x = 3x + (-1 * -2 + x * -2) 6 + 2x = 3x + (2 + -2x) Reorder the terms: 6 + 2x = 2 + 3x + -2x Combine like terms: 3x + -2x = 1x 6 + 2x = 2 + 1x Solving 6 + 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. 6 + 2x + -1x = 2 + 1x + -1x Combine like terms: 2x + -1x = 1x 6 + 1x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + 1x = 2 + 0 6 + 1x = 2 Add '-6' to each side of the equation. 6 + -6 + 1x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 2 + -6 1x = 2 + -6 Combine like terms: 2 + -6 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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