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Simplifying 2(x + 2) = 3(x + 3) Reorder the terms: 2(2 + x) = 3(x + 3) (2 * 2 + x * 2) = 3(x + 3) (4 + 2x) = 3(x + 3) Reorder the terms: 4 + 2x = 3(3 + x) 4 + 2x = (3 * 3 + x * 3) 4 + 2x = (9 + 3x) Solving 4 + 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. 4 + 2x + -3x = 9 + 3x + -3x Combine like terms: 2x + -3x = -1x 4 + -1x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -1x = 9 + 0 4 + -1x = 9 Add '-4' to each side of the equation. 4 + -4 + -1x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 9 + -4 -1x = 9 + -4 Combine like terms: 9 + -4 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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