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Simplifying 3(x + 8) = 2(3x + 15) Reorder the terms: 3(8 + x) = 2(3x + 15) (8 * 3 + x * 3) = 2(3x + 15) (24 + 3x) = 2(3x + 15) Reorder the terms: 24 + 3x = 2(15 + 3x) 24 + 3x = (15 * 2 + 3x * 2) 24 + 3x = (30 + 6x) Solving 24 + 3x = 30 + 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. 24 + 3x + -6x = 30 + 6x + -6x Combine like terms: 3x + -6x = -3x 24 + -3x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + -3x = 30 + 0 24 + -3x = 30 Add '-24' to each side of the equation. 24 + -24 + -3x = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = 30 + -24 -3x = 30 + -24 Combine like terms: 30 + -24 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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