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Simplifying 12(x + 1) = 4(2x + 5) Reorder the terms: 12(1 + x) = 4(2x + 5) (1 * 12 + x * 12) = 4(2x + 5) (12 + 12x) = 4(2x + 5) Reorder the terms: 12 + 12x = 4(5 + 2x) 12 + 12x = (5 * 4 + 2x * 4) 12 + 12x = (20 + 8x) Solving 12 + 12x = 20 + 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. 12 + 12x + -8x = 20 + 8x + -8x Combine like terms: 12x + -8x = 4x 12 + 4x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + 4x = 20 + 0 12 + 4x = 20 Add '-12' to each side of the equation. 12 + -12 + 4x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 20 + -12 4x = 20 + -12 Combine like terms: 20 + -12 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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