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Simplifying 2(2x + -4) = 3(3x + 4) Reorder the terms: 2(-4 + 2x) = 3(3x + 4) (-4 * 2 + 2x * 2) = 3(3x + 4) (-8 + 4x) = 3(3x + 4) Reorder the terms: -8 + 4x = 3(4 + 3x) -8 + 4x = (4 * 3 + 3x * 3) -8 + 4x = (12 + 9x) Solving -8 + 4x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -8 + 4x + -9x = 12 + 9x + -9x Combine like terms: 4x + -9x = -5x -8 + -5x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + -5x = 12 + 0 -8 + -5x = 12 Add '8' to each side of the equation. -8 + 8 + -5x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 12 + 8 -5x = 12 + 8 Combine like terms: 12 + 8 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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