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Simplifying -2x + 9(3x + -5) = 2(5x + 9) Reorder the terms: -2x + 9(-5 + 3x) = 2(5x + 9) -2x + (-5 * 9 + 3x * 9) = 2(5x + 9) -2x + (-45 + 27x) = 2(5x + 9) Reorder the terms: -45 + -2x + 27x = 2(5x + 9) Combine like terms: -2x + 27x = 25x -45 + 25x = 2(5x + 9) Reorder the terms: -45 + 25x = 2(9 + 5x) -45 + 25x = (9 * 2 + 5x * 2) -45 + 25x = (18 + 10x) Solving -45 + 25x = 18 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -45 + 25x + -10x = 18 + 10x + -10x Combine like terms: 25x + -10x = 15x -45 + 15x = 18 + 10x + -10x Combine like terms: 10x + -10x = 0 -45 + 15x = 18 + 0 -45 + 15x = 18 Add '45' to each side of the equation. -45 + 45 + 15x = 18 + 45 Combine like terms: -45 + 45 = 0 0 + 15x = 18 + 45 15x = 18 + 45 Combine like terms: 18 + 45 = 63 15x = 63 Divide each side by '15'. x = 4.2 Simplifying x = 4.2
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