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Simplifying 3(x + 15) = 2(3x + 12) Reorder the terms: 3(15 + x) = 2(3x + 12) (15 * 3 + x * 3) = 2(3x + 12) (45 + 3x) = 2(3x + 12) Reorder the terms: 45 + 3x = 2(12 + 3x) 45 + 3x = (12 * 2 + 3x * 2) 45 + 3x = (24 + 6x) Solving 45 + 3x = 24 + 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. 45 + 3x + -6x = 24 + 6x + -6x Combine like terms: 3x + -6x = -3x 45 + -3x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + -3x = 24 + 0 45 + -3x = 24 Add '-45' to each side of the equation. 45 + -45 + -3x = 24 + -45 Combine like terms: 45 + -45 = 0 0 + -3x = 24 + -45 -3x = 24 + -45 Combine like terms: 24 + -45 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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