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Simplifying 9(3x + 5) + -2x = 2x + -1 Reorder the terms: 9(5 + 3x) + -2x = 2x + -1 (5 * 9 + 3x * 9) + -2x = 2x + -1 (45 + 27x) + -2x = 2x + -1 Combine like terms: 27x + -2x = 25x 45 + 25x = 2x + -1 Reorder the terms: 45 + 25x = -1 + 2x Solving 45 + 25x = -1 + 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. 45 + 25x + -2x = -1 + 2x + -2x Combine like terms: 25x + -2x = 23x 45 + 23x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + 23x = -1 + 0 45 + 23x = -1 Add '-45' to each side of the equation. 45 + -45 + 23x = -1 + -45 Combine like terms: 45 + -45 = 0 0 + 23x = -1 + -45 23x = -1 + -45 Combine like terms: -1 + -45 = -46 23x = -46 Divide each side by '23'. x = -2 Simplifying x = -2
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