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