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Simplifying 9(2x + 1) = 5x + -9x Reorder the terms: 9(1 + 2x) = 5x + -9x (1 * 9 + 2x * 9) = 5x + -9x (9 + 18x) = 5x + -9x Combine like terms: 5x + -9x = -4x 9 + 18x = -4x Solving 9 + 18x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 9 + 18x + 4x = -4x + 4x Combine like terms: 18x + 4x = 22x 9 + 22x = -4x + 4x Combine like terms: -4x + 4x = 0 9 + 22x = 0 Add '-9' to each side of the equation. 9 + -9 + 22x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 22x = 0 + -9 22x = 0 + -9 Combine like terms: 0 + -9 = -9 22x = -9 Divide each side by '22'. x = -0.4090909091 Simplifying x = -0.4090909091
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