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Simplifying 9(2x + 1) = 5x + -7x Reorder the terms: 9(1 + 2x) = 5x + -7x (1 * 9 + 2x * 9) = 5x + -7x (9 + 18x) = 5x + -7x Combine like terms: 5x + -7x = -2x 9 + 18x = -2x Solving 9 + 18x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9 + 18x + 2x = -2x + 2x Combine like terms: 18x + 2x = 20x 9 + 20x = -2x + 2x Combine like terms: -2x + 2x = 0 9 + 20x = 0 Add '-9' to each side of the equation. 9 + -9 + 20x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 20x = 0 + -9 20x = 0 + -9 Combine like terms: 0 + -9 = -9 20x = -9 Divide each side by '20'. x = -0.45 Simplifying x = -0.45
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