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Simplifying 5(4x + 6) = 3(2x + 17) Reorder the terms: 5(6 + 4x) = 3(2x + 17) (6 * 5 + 4x * 5) = 3(2x + 17) (30 + 20x) = 3(2x + 17) Reorder the terms: 30 + 20x = 3(17 + 2x) 30 + 20x = (17 * 3 + 2x * 3) 30 + 20x = (51 + 6x) Solving 30 + 20x = 51 + 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 = 51 + 6x + -6x Combine like terms: 20x + -6x = 14x 30 + 14x = 51 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + 14x = 51 + 0 30 + 14x = 51 Add '-30' to each side of the equation. 30 + -30 + 14x = 51 + -30 Combine like terms: 30 + -30 = 0 0 + 14x = 51 + -30 14x = 51 + -30 Combine like terms: 51 + -30 = 21 14x = 21 Divide each side by '14'. x = 1.5 Simplifying x = 1.5
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