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Simplifying 2(2x + -4) = 3(2x + -4) Reorder the terms: 2(-4 + 2x) = 3(2x + -4) (-4 * 2 + 2x * 2) = 3(2x + -4) (-8 + 4x) = 3(2x + -4) Reorder the terms: -8 + 4x = 3(-4 + 2x) -8 + 4x = (-4 * 3 + 2x * 3) -8 + 4x = (-12 + 6x) Solving -8 + 4x = -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. -8 + 4x + -6x = -12 + 6x + -6x Combine like terms: 4x + -6x = -2x -8 + -2x = -12 + 6x + -6x Combine like terms: 6x + -6x = 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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