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Simplifying 9(x + -5) = 24x Reorder the terms: 9(-5 + x) = 24x (-5 * 9 + x * 9) = 24x (-45 + 9x) = 24x Solving -45 + 9x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -45 + 9x + -24x = 24x + -24x Combine like terms: 9x + -24x = -15x -45 + -15x = 24x + -24x Combine like terms: 24x + -24x = 0 -45 + -15x = 0 Add '45' to each side of the equation. -45 + 45 + -15x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -15x = 0 + 45 -15x = 0 + 45 Combine like terms: 0 + 45 = 45 -15x = 45 Divide each side by '-15'. x = -3 Simplifying x = -3
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