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Simplifying 9(2x + -5) = 5(3x + 1) + -32 Reorder the terms: 9(-5 + 2x) = 5(3x + 1) + -32 (-5 * 9 + 2x * 9) = 5(3x + 1) + -32 (-45 + 18x) = 5(3x + 1) + -32 Reorder the terms: -45 + 18x = 5(1 + 3x) + -32 -45 + 18x = (1 * 5 + 3x * 5) + -32 -45 + 18x = (5 + 15x) + -32 Reorder the terms: -45 + 18x = 5 + -32 + 15x Combine like terms: 5 + -32 = -27 -45 + 18x = -27 + 15x Solving -45 + 18x = -27 + 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 = -27 + 15x + -15x Combine like terms: 18x + -15x = 3x -45 + 3x = -27 + 15x + -15x Combine like terms: 15x + -15x = 0 -45 + 3x = -27 + 0 -45 + 3x = -27 Add '45' to each side of the equation. -45 + 45 + 3x = -27 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = -27 + 45 3x = -27 + 45 Combine like terms: -27 + 45 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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