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Simplifying 2(x + 3) = 3x + -6 Reorder the terms: 2(3 + x) = 3x + -6 (3 * 2 + x * 2) = 3x + -6 (6 + 2x) = 3x + -6 Reorder the terms: 6 + 2x = -6 + 3x Solving 6 + 2x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 2x + -3x = -6 + 3x + -3x Combine like terms: 2x + -3x = -1x 6 + -1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -1x = -6 + 0 6 + -1x = -6 Add '-6' to each side of the equation. 6 + -6 + -1x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -6 + -6 -1x = -6 + -6 Combine like terms: -6 + -6 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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