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Simplifying 3(2x + -4) = 4(x + -5) Reorder the terms: 3(-4 + 2x) = 4(x + -5) (-4 * 3 + 2x * 3) = 4(x + -5) (-12 + 6x) = 4(x + -5) Reorder the terms: -12 + 6x = 4(-5 + x) -12 + 6x = (-5 * 4 + x * 4) -12 + 6x = (-20 + 4x) Solving -12 + 6x = -20 + 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. -12 + 6x + -4x = -20 + 4x + -4x Combine like terms: 6x + -4x = 2x -12 + 2x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 2x = -20 + 0 -12 + 2x = -20 Add '12' to each side of the equation. -12 + 12 + 2x = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -20 + 12 2x = -20 + 12 Combine like terms: -20 + 12 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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