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Simplifying 5(4x + 6) = 2(3x + 6) Reorder the terms: 5(6 + 4x) = 2(3x + 6) (6 * 5 + 4x * 5) = 2(3x + 6) (30 + 20x) = 2(3x + 6) Reorder the terms: 30 + 20x = 2(6 + 3x) 30 + 20x = (6 * 2 + 3x * 2) 30 + 20x = (12 + 6x) Solving 30 + 20x = 12 + 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. 30 + 20x + -6x = 12 + 6x + -6x Combine like terms: 20x + -6x = 14x 30 + 14x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + 14x = 12 + 0 30 + 14x = 12 Add '-30' to each side of the equation. 30 + -30 + 14x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 14x = 12 + -30 14x = 12 + -30 Combine like terms: 12 + -30 = -18 14x = -18 Divide each side by '14'. x = -1.285714286 Simplifying x = -1.285714286
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