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Simplifying 12(x + 2) = 8(x + 5) Reorder the terms: 12(2 + x) = 8(x + 5) (2 * 12 + x * 12) = 8(x + 5) (24 + 12x) = 8(x + 5) Reorder the terms: 24 + 12x = 8(5 + x) 24 + 12x = (5 * 8 + x * 8) 24 + 12x = (40 + 8x) Solving 24 + 12x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + 12x + -8x = 40 + 8x + -8x Combine like terms: 12x + -8x = 4x 24 + 4x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + 4x = 40 + 0 24 + 4x = 40 Add '-24' to each side of the equation. 24 + -24 + 4x = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 40 + -24 4x = 40 + -24 Combine like terms: 40 + -24 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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