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Simplifying 3(x + 2) = 6(x + 3) Reorder the terms: 3(2 + x) = 6(x + 3) (2 * 3 + x * 3) = 6(x + 3) (6 + 3x) = 6(x + 3) Reorder the terms: 6 + 3x = 6(3 + x) 6 + 3x = (3 * 6 + x * 6) 6 + 3x = (18 + 6x) Solving 6 + 3x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 3x + -6x = 18 + 6x + -6x Combine like terms: 3x + -6x = -3x 6 + -3x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -3x = 18 + 0 6 + -3x = 18 Add '-6' to each side of the equation. 6 + -6 + -3x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 18 + -6 -3x = 18 + -6 Combine like terms: 18 + -6 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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