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Simplifying 3(x + 8) = 2(2x + 15) Reorder the terms: 3(8 + x) = 2(2x + 15) (8 * 3 + x * 3) = 2(2x + 15) (24 + 3x) = 2(2x + 15) Reorder the terms: 24 + 3x = 2(15 + 2x) 24 + 3x = (15 * 2 + 2x * 2) 24 + 3x = (30 + 4x) Solving 24 + 3x = 30 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + 3x + -4x = 30 + 4x + -4x Combine like terms: 3x + -4x = -1x 24 + -1x = 30 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -1x = 30 + 0 24 + -1x = 30 Add '-24' to each side of the equation. 24 + -24 + -1x = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 30 + -24 -1x = 30 + -24 Combine like terms: 30 + -24 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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