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Simplifying -1(3x + 4) + -4x = -2(4x + -3) + 2 Reorder the terms: -1(4 + 3x) + -4x = -2(4x + -3) + 2 (4 * -1 + 3x * -1) + -4x = -2(4x + -3) + 2 (-4 + -3x) + -4x = -2(4x + -3) + 2 Combine like terms: -3x + -4x = -7x -4 + -7x = -2(4x + -3) + 2 Reorder the terms: -4 + -7x = -2(-3 + 4x) + 2 -4 + -7x = (-3 * -2 + 4x * -2) + 2 -4 + -7x = (6 + -8x) + 2 Reorder the terms: -4 + -7x = 6 + 2 + -8x Combine like terms: 6 + 2 = 8 -4 + -7x = 8 + -8x Solving -4 + -7x = 8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -4 + -7x + 8x = 8 + -8x + 8x Combine like terms: -7x + 8x = 1x -4 + 1x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 -4 + 1x = 8 + 0 -4 + 1x = 8 Add '4' to each side of the equation. -4 + 4 + 1x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 8 + 4 1x = 8 + 4 Combine like terms: 8 + 4 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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