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Simplifying 2(2 + -1x) + 3x = 2(x + 12) (2 * 2 + -1x * 2) + 3x = 2(x + 12) (4 + -2x) + 3x = 2(x + 12) Combine like terms: -2x + 3x = 1x 4 + 1x = 2(x + 12) Reorder the terms: 4 + 1x = 2(12 + x) 4 + 1x = (12 * 2 + x * 2) 4 + 1x = (24 + 2x) Solving 4 + 1x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 1x + -2x = 24 + 2x + -2x Combine like terms: 1x + -2x = -1x 4 + -1x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -1x = 24 + 0 4 + -1x = 24 Add '-4' to each side of the equation. 4 + -4 + -1x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 24 + -4 -1x = 24 + -4 Combine like terms: 24 + -4 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20
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