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Simplifying -4(-6 + -5x) + -23 = 9(2x + 3) (-6 * -4 + -5x * -4) + -23 = 9(2x + 3) (24 + 20x) + -23 = 9(2x + 3) Reorder the terms: 24 + -23 + 20x = 9(2x + 3) Combine like terms: 24 + -23 = 1 1 + 20x = 9(2x + 3) Reorder the terms: 1 + 20x = 9(3 + 2x) 1 + 20x = (3 * 9 + 2x * 9) 1 + 20x = (27 + 18x) Solving 1 + 20x = 27 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 1 + 20x + -18x = 27 + 18x + -18x Combine like terms: 20x + -18x = 2x 1 + 2x = 27 + 18x + -18x Combine like terms: 18x + -18x = 0 1 + 2x = 27 + 0 1 + 2x = 27 Add '-1' to each side of the equation. 1 + -1 + 2x = 27 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 27 + -1 2x = 27 + -1 Combine like terms: 27 + -1 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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