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Simplifying 5(4x + -2) + 10 = 6(x + 14) Reorder the terms: 5(-2 + 4x) + 10 = 6(x + 14) (-2 * 5 + 4x * 5) + 10 = 6(x + 14) (-10 + 20x) + 10 = 6(x + 14) Reorder the terms: -10 + 10 + 20x = 6(x + 14) Combine like terms: -10 + 10 = 0 0 + 20x = 6(x + 14) 20x = 6(x + 14) Reorder the terms: 20x = 6(14 + x) 20x = (14 * 6 + x * 6) 20x = (84 + 6x) Solving 20x = 84 + 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. 20x + -6x = 84 + 6x + -6x Combine like terms: 20x + -6x = 14x 14x = 84 + 6x + -6x Combine like terms: 6x + -6x = 0 14x = 84 + 0 14x = 84 Divide each side by '14'. x = 6 Simplifying x = 6
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