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Simplifying 3x + -2(x + 12) = 14 + -1(x + 4) Reorder the terms: 3x + -2(12 + x) = 14 + -1(x + 4) 3x + (12 * -2 + x * -2) = 14 + -1(x + 4) 3x + (-24 + -2x) = 14 + -1(x + 4) Reorder the terms: -24 + 3x + -2x = 14 + -1(x + 4) Combine like terms: 3x + -2x = 1x -24 + 1x = 14 + -1(x + 4) Reorder the terms: -24 + 1x = 14 + -1(4 + x) -24 + 1x = 14 + (4 * -1 + x * -1) -24 + 1x = 14 + (-4 + -1x) Combine like terms: 14 + -4 = 10 -24 + 1x = 10 + -1x Solving -24 + 1x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -24 + 1x + x = 10 + -1x + x Combine like terms: 1x + x = 2x -24 + 2x = 10 + -1x + x Combine like terms: -1x + x = 0 -24 + 2x = 10 + 0 -24 + 2x = 10 Add '24' to each side of the equation. -24 + 24 + 2x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 10 + 24 2x = 10 + 24 Combine like terms: 10 + 24 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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