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Simplifying 5(4x + 6) = 6x + 2 Reorder the terms: 5(6 + 4x) = 6x + 2 (6 * 5 + 4x * 5) = 6x + 2 (30 + 20x) = 6x + 2 Reorder the terms: 30 + 20x = 2 + 6x Solving 30 + 20x = 2 + 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 = 2 + 6x + -6x Combine like terms: 20x + -6x = 14x 30 + 14x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + 14x = 2 + 0 30 + 14x = 2 Add '-30' to each side of the equation. 30 + -30 + 14x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + 14x = 2 + -30 14x = 2 + -30 Combine like terms: 2 + -30 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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