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Simplifying -2x + -12 = 7x + 24 Reorder the terms: -12 + -2x = 7x + 24 Reorder the terms: -12 + -2x = 24 + 7x Solving -12 + -2x = 24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + -2x + -7x = 24 + 7x + -7x Combine like terms: -2x + -7x = -9x -12 + -9x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -9x = 24 + 0 -12 + -9x = 24 Add '12' to each side of the equation. -12 + 12 + -9x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = 24 + 12 -9x = 24 + 12 Combine like terms: 24 + 12 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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