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Simplifying 2(x + 3) = 3(x + 3) Reorder the terms: 2(3 + x) = 3(x + 3) (3 * 2 + x * 2) = 3(x + 3) (6 + 2x) = 3(x + 3) Reorder the terms: 6 + 2x = 3(3 + x) 6 + 2x = (3 * 3 + x * 3) 6 + 2x = (9 + 3x) Solving 6 + 2x = 9 + 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 = 9 + 3x + -3x Combine like terms: 2x + -3x = -1x 6 + -1x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -1x = 9 + 0 6 + -1x = 9 Add '-6' to each side of the equation. 6 + -6 + -1x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 9 + -6 -1x = 9 + -6 Combine like terms: 9 + -6 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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