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Simplifying -5x + 24 = 12x + -12 Reorder the terms: 24 + -5x = 12x + -12 Reorder the terms: 24 + -5x = -12 + 12x Solving 24 + -5x = -12 + 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. 24 + -5x + -12x = -12 + 12x + -12x Combine like terms: -5x + -12x = -17x 24 + -17x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -17x = -12 + 0 24 + -17x = -12 Add '-24' to each side of the equation. 24 + -24 + -17x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -17x = -12 + -24 -17x = -12 + -24 Combine like terms: -12 + -24 = -36 -17x = -36 Divide each side by '-17'. x = 2.117647059 Simplifying x = 2.117647059
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