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Simplifying 2(2x + -4) = 3(2x + -4) * 2 Reorder the terms: 2(-4 + 2x) = 3(2x + -4) * 2 (-4 * 2 + 2x * 2) = 3(2x + -4) * 2 (-8 + 4x) = 3(2x + -4) * 2 Reorder the terms: -8 + 4x = 3(-4 + 2x) * 2 Reorder the terms for easier multiplication: -8 + 4x = 3 * 2(-4 + 2x) Multiply 3 * 2 -8 + 4x = 6(-4 + 2x) -8 + 4x = (-4 * 6 + 2x * 6) -8 + 4x = (-24 + 12x) Solving -8 + 4x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 4x + -12x = -24 + 12x + -12x Combine like terms: 4x + -12x = -8x -8 + -8x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -8x = -24 + 0 -8 + -8x = -24 Add '8' to each side of the equation. -8 + 8 + -8x = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = -24 + 8 -8x = -24 + 8 Combine like terms: -24 + 8 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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