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Simplifying 3(2x + 4) = 4(5x + -4) Reorder the terms: 3(4 + 2x) = 4(5x + -4) (4 * 3 + 2x * 3) = 4(5x + -4) (12 + 6x) = 4(5x + -4) Reorder the terms: 12 + 6x = 4(-4 + 5x) 12 + 6x = (-4 * 4 + 5x * 4) 12 + 6x = (-16 + 20x) Solving 12 + 6x = -16 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 12 + 6x + -20x = -16 + 20x + -20x Combine like terms: 6x + -20x = -14x 12 + -14x = -16 + 20x + -20x Combine like terms: 20x + -20x = 0 12 + -14x = -16 + 0 12 + -14x = -16 Add '-12' to each side of the equation. 12 + -12 + -14x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = -16 + -12 -14x = -16 + -12 Combine like terms: -16 + -12 = -28 -14x = -28 Divide each side by '-14'. x = 2 Simplifying x = 2
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