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Simplifying -3(x + 4) + -2x = 2(x + 1) Reorder the terms: -3(4 + x) + -2x = 2(x + 1) (4 * -3 + x * -3) + -2x = 2(x + 1) (-12 + -3x) + -2x = 2(x + 1) Combine like terms: -3x + -2x = -5x -12 + -5x = 2(x + 1) Reorder the terms: -12 + -5x = 2(1 + x) -12 + -5x = (1 * 2 + x * 2) -12 + -5x = (2 + 2x) Solving -12 + -5x = 2 + 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 + -5x + -2x = 2 + 2x + -2x Combine like terms: -5x + -2x = -7x -12 + -7x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -7x = 2 + 0 -12 + -7x = 2 Add '12' to each side of the equation. -12 + 12 + -7x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = 2 + 12 -7x = 2 + 12 Combine like terms: 2 + 12 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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