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Simplifying 5(4x + 2) = 3(2x + -6) Reorder the terms: 5(2 + 4x) = 3(2x + -6) (2 * 5 + 4x * 5) = 3(2x + -6) (10 + 20x) = 3(2x + -6) Reorder the terms: 10 + 20x = 3(-6 + 2x) 10 + 20x = (-6 * 3 + 2x * 3) 10 + 20x = (-18 + 6x) Solving 10 + 20x = -18 + 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. 10 + 20x + -6x = -18 + 6x + -6x Combine like terms: 20x + -6x = 14x 10 + 14x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + 14x = -18 + 0 10 + 14x = -18 Add '-10' to each side of the equation. 10 + -10 + 14x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + 14x = -18 + -10 14x = -18 + -10 Combine like terms: -18 + -10 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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