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Simplifying 12(x + 2) = 16(x + 6) Reorder the terms: 12(2 + x) = 16(x + 6) (2 * 12 + x * 12) = 16(x + 6) (24 + 12x) = 16(x + 6) Reorder the terms: 24 + 12x = 16(6 + x) 24 + 12x = (6 * 16 + x * 16) 24 + 12x = (96 + 16x) Solving 24 + 12x = 96 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 24 + 12x + -16x = 96 + 16x + -16x Combine like terms: 12x + -16x = -4x 24 + -4x = 96 + 16x + -16x Combine like terms: 16x + -16x = 0 24 + -4x = 96 + 0 24 + -4x = 96 Add '-24' to each side of the equation. 24 + -24 + -4x = 96 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = 96 + -24 -4x = 96 + -24 Combine like terms: 96 + -24 = 72 -4x = 72 Divide each side by '-4'. x = -18 Simplifying x = -18
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