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Simplifying 3(4x + -4) = -2(2x + 4) Reorder the terms: 3(-4 + 4x) = -2(2x + 4) (-4 * 3 + 4x * 3) = -2(2x + 4) (-12 + 12x) = -2(2x + 4) Reorder the terms: -12 + 12x = -2(4 + 2x) -12 + 12x = (4 * -2 + 2x * -2) -12 + 12x = (-8 + -4x) Solving -12 + 12x = -8 + -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 + 12x + 4x = -8 + -4x + 4x Combine like terms: 12x + 4x = 16x -12 + 16x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 16x = -8 + 0 -12 + 16x = -8 Add '12' to each side of the equation. -12 + 12 + 16x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = -8 + 12 16x = -8 + 12 Combine like terms: -8 + 12 = 4 16x = 4 Divide each side by '16'. x = 0.25 Simplifying x = 0.25
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