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Simplifying 8.5(2x + 6) = 14x + 9 Reorder the terms: 8.5(6 + 2x) = 14x + 9 (6 * 8.5 + 2x * 8.5) = 14x + 9 (51 + 17x) = 14x + 9 Reorder the terms: 51 + 17x = 9 + 14x Solving 51 + 17x = 9 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 51 + 17x + -14x = 9 + 14x + -14x Combine like terms: 17x + -14x = 3x 51 + 3x = 9 + 14x + -14x Combine like terms: 14x + -14x = 0 51 + 3x = 9 + 0 51 + 3x = 9 Add '-51' to each side of the equation. 51 + -51 + 3x = 9 + -51 Combine like terms: 51 + -51 = 0 0 + 3x = 9 + -51 3x = 9 + -51 Combine like terms: 9 + -51 = -42 3x = -42 Divide each side by '3'. x = -14 Simplifying x = -14
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