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Simplifying 5(x + -5) = 12x + -24 Reorder the terms: 5(-5 + x) = 12x + -24 (-5 * 5 + x * 5) = 12x + -24 (-25 + 5x) = 12x + -24 Reorder the terms: -25 + 5x = -24 + 12x Solving -25 + 5x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -25 + 5x + -12x = -24 + 12x + -12x Combine like terms: 5x + -12x = -7x -25 + -7x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 -25 + -7x = -24 + 0 -25 + -7x = -24 Add '25' to each side of the equation. -25 + 25 + -7x = -24 + 25 Combine like terms: -25 + 25 = 0 0 + -7x = -24 + 25 -7x = -24 + 25 Combine like terms: -24 + 25 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429
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