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Simplifying 2(3x + -4) = -4(-2x + 3) Reorder the terms: 2(-4 + 3x) = -4(-2x + 3) (-4 * 2 + 3x * 2) = -4(-2x + 3) (-8 + 6x) = -4(-2x + 3) Reorder the terms: -8 + 6x = -4(3 + -2x) -8 + 6x = (3 * -4 + -2x * -4) -8 + 6x = (-12 + 8x) Solving -8 + 6x = -12 + 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. -8 + 6x + -8x = -12 + 8x + -8x Combine like terms: 6x + -8x = -2x -8 + -2x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -2x = -12 + 0 -8 + -2x = -12 Add '8' to each side of the equation. -8 + 8 + -2x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -12 + 8 -2x = -12 + 8 Combine like terms: -12 + 8 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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