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Simplifying -5x + 2x + -12 = 24 + 2x Reorder the terms: -12 + -5x + 2x = 24 + 2x Combine like terms: -5x + 2x = -3x -12 + -3x = 24 + 2x Solving -12 + -3x = 24 + 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. -12 + -3x + -2x = 24 + 2x + -2x Combine like terms: -3x + -2x = -5x -12 + -5x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -5x = 24 + 0 -12 + -5x = 24 Add '12' to each side of the equation. -12 + 12 + -5x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 24 + 12 -5x = 24 + 12 Combine like terms: 24 + 12 = 36 -5x = 36 Divide each side by '-5'. x = -7.2 Simplifying x = -7.2
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