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Simplifying 3(2x + 4) = 5(4x + -6) Reorder the terms: 3(4 + 2x) = 5(4x + -6) (4 * 3 + 2x * 3) = 5(4x + -6) (12 + 6x) = 5(4x + -6) Reorder the terms: 12 + 6x = 5(-6 + 4x) 12 + 6x = (-6 * 5 + 4x * 5) 12 + 6x = (-30 + 20x) Solving 12 + 6x = -30 + 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 = -30 + 20x + -20x Combine like terms: 6x + -20x = -14x 12 + -14x = -30 + 20x + -20x Combine like terms: 20x + -20x = 0 12 + -14x = -30 + 0 12 + -14x = -30 Add '-12' to each side of the equation. 12 + -12 + -14x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = -30 + -12 -14x = -30 + -12 Combine like terms: -30 + -12 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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