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Simplifying 9(x + 1) = -3x + 5(x + 2) Reorder the terms: 9(1 + x) = -3x + 5(x + 2) (1 * 9 + x * 9) = -3x + 5(x + 2) (9 + 9x) = -3x + 5(x + 2) Reorder the terms: 9 + 9x = -3x + 5(2 + x) 9 + 9x = -3x + (2 * 5 + x * 5) 9 + 9x = -3x + (10 + 5x) Reorder the terms: 9 + 9x = 10 + -3x + 5x Combine like terms: -3x + 5x = 2x 9 + 9x = 10 + 2x Solving 9 + 9x = 10 + 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 + 9x + -2x = 10 + 2x + -2x Combine like terms: 9x + -2x = 7x 9 + 7x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 7x = 10 + 0 9 + 7x = 10 Add '-9' to each side of the equation. 9 + -9 + 7x = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 10 + -9 7x = 10 + -9 Combine like terms: 10 + -9 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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