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Simplifying -2(3x + -4) = 4(x + -3) Reorder the terms: -2(-4 + 3x) = 4(x + -3) (-4 * -2 + 3x * -2) = 4(x + -3) (8 + -6x) = 4(x + -3) Reorder the terms: 8 + -6x = 4(-3 + x) 8 + -6x = (-3 * 4 + x * 4) 8 + -6x = (-12 + 4x) Solving 8 + -6x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + -6x + -4x = -12 + 4x + -4x Combine like terms: -6x + -4x = -10x 8 + -10x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -10x = -12 + 0 8 + -10x = -12 Add '-8' to each side of the equation. 8 + -8 + -10x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -12 + -8 -10x = -12 + -8 Combine like terms: -12 + -8 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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