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Simplifying -5x + -24 = -3(x + 3) + x Reorder the terms: -24 + -5x = -3(x + 3) + x Reorder the terms: -24 + -5x = -3(3 + x) + x -24 + -5x = (3 * -3 + x * -3) + x -24 + -5x = (-9 + -3x) + x Combine like terms: -3x + x = -2x -24 + -5x = -9 + -2x Solving -24 + -5x = -9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -24 + -5x + 2x = -9 + -2x + 2x Combine like terms: -5x + 2x = -3x -24 + -3x = -9 + -2x + 2x Combine like terms: -2x + 2x = 0 -24 + -3x = -9 + 0 -24 + -3x = -9 Add '24' to each side of the equation. -24 + 24 + -3x = -9 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = -9 + 24 -3x = -9 + 24 Combine like terms: -9 + 24 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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