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Simplifying 3(x + 1) + -2x = 2x + 6 Reorder the terms: 3(1 + x) + -2x = 2x + 6 (1 * 3 + x * 3) + -2x = 2x + 6 (3 + 3x) + -2x = 2x + 6 Combine like terms: 3x + -2x = 1x 3 + 1x = 2x + 6 Reorder the terms: 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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