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Simplifying 5(9 + -2x + -3x) + 9(2x + 3) = 23 Combine like terms: -2x + -3x = -5x 5(9 + -5x) + 9(2x + 3) = 23 (9 * 5 + -5x * 5) + 9(2x + 3) = 23 (45 + -25x) + 9(2x + 3) = 23 Reorder the terms: 45 + -25x + 9(3 + 2x) = 23 45 + -25x + (3 * 9 + 2x * 9) = 23 45 + -25x + (27 + 18x) = 23 Reorder the terms: 45 + 27 + -25x + 18x = 23 Combine like terms: 45 + 27 = 72 72 + -25x + 18x = 23 Combine like terms: -25x + 18x = -7x 72 + -7x = 23 Solving 72 + -7x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -7x = 23 + -72 Combine like terms: 72 + -72 = 0 0 + -7x = 23 + -72 -7x = 23 + -72 Combine like terms: 23 + -72 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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