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Simplifying -2(4x + -1) = 3(-2x + -4) Reorder the terms: -2(-1 + 4x) = 3(-2x + -4) (-1 * -2 + 4x * -2) = 3(-2x + -4) (2 + -8x) = 3(-2x + -4) Reorder the terms: 2 + -8x = 3(-4 + -2x) 2 + -8x = (-4 * 3 + -2x * 3) 2 + -8x = (-12 + -6x) Solving 2 + -8x = -12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 2 + -8x + 6x = -12 + -6x + 6x Combine like terms: -8x + 6x = -2x 2 + -2x = -12 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + -2x = -12 + 0 2 + -2x = -12 Add '-2' to each side of the equation. 2 + -2 + -2x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -12 + -2 -2x = -12 + -2 Combine like terms: -12 + -2 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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