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Simplifying 9(2x + -5) = 5(3x + -1) + -18 Reorder the terms: 9(-5 + 2x) = 5(3x + -1) + -18 (-5 * 9 + 2x * 9) = 5(3x + -1) + -18 (-45 + 18x) = 5(3x + -1) + -18 Reorder the terms: -45 + 18x = 5(-1 + 3x) + -18 -45 + 18x = (-1 * 5 + 3x * 5) + -18 -45 + 18x = (-5 + 15x) + -18 Reorder the terms: -45 + 18x = -5 + -18 + 15x Combine like terms: -5 + -18 = -23 -45 + 18x = -23 + 15x Solving -45 + 18x = -23 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -45 + 18x + -15x = -23 + 15x + -15x Combine like terms: 18x + -15x = 3x -45 + 3x = -23 + 15x + -15x Combine like terms: 15x + -15x = 0 -45 + 3x = -23 + 0 -45 + 3x = -23 Add '45' to each side of the equation. -45 + 45 + 3x = -23 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = -23 + 45 3x = -23 + 45 Combine like terms: -23 + 45 = 22 3x = 22 Divide each side by '3'. x = 7.333333333 Simplifying x = 7.333333333
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