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