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Simplifying 3(x + 4) = 2 + -1(7 + -2x) Reorder the terms: 3(4 + x) = 2 + -1(7 + -2x) (4 * 3 + x * 3) = 2 + -1(7 + -2x) (12 + 3x) = 2 + -1(7 + -2x) 12 + 3x = 2 + (7 * -1 + -2x * -1) 12 + 3x = 2 + (-7 + 2x) Combine like terms: 2 + -7 = -5 12 + 3x = -5 + 2x Solving 12 + 3x = -5 + 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. 12 + 3x + -2x = -5 + 2x + -2x Combine like terms: 3x + -2x = 1x 12 + 1x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 1x = -5 + 0 12 + 1x = -5 Add '-12' to each side of the equation. 12 + -12 + 1x = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -5 + -12 1x = -5 + -12 Combine like terms: -5 + -12 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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