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Simplifying 3(x + 8) = 2(2x + 16) Reorder the terms: 3(8 + x) = 2(2x + 16) (8 * 3 + x * 3) = 2(2x + 16) (24 + 3x) = 2(2x + 16) Reorder the terms: 24 + 3x = 2(16 + 2x) 24 + 3x = (16 * 2 + 2x * 2) 24 + 3x = (32 + 4x) Solving 24 + 3x = 32 + 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 = 32 + 4x + -4x Combine like terms: 3x + -4x = -1x 24 + -1x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -1x = 32 + 0 24 + -1x = 32 Add '-24' to each side of the equation. 24 + -24 + -1x = 32 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 32 + -24 -1x = 32 + -24 Combine like terms: 32 + -24 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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