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Simplifying 12 + 5(2 + -1x) = 3(x + 4) 12 + (2 * 5 + -1x * 5) = 3(x + 4) 12 + (10 + -5x) = 3(x + 4) Combine like terms: 12 + 10 = 22 22 + -5x = 3(x + 4) Reorder the terms: 22 + -5x = 3(4 + x) 22 + -5x = (4 * 3 + x * 3) 22 + -5x = (12 + 3x) Solving 22 + -5x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 22 + -5x + -3x = 12 + 3x + -3x Combine like terms: -5x + -3x = -8x 22 + -8x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 22 + -8x = 12 + 0 22 + -8x = 12 Add '-22' to each side of the equation. 22 + -22 + -8x = 12 + -22 Combine like terms: 22 + -22 = 0 0 + -8x = 12 + -22 -8x = 12 + -22 Combine like terms: 12 + -22 = -10 -8x = -10 Divide each side by '-8'. x = 1.25 Simplifying x = 1.25
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