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Simplifying -5 + -3x + 2 = 12 + -2x Reorder the terms: -5 + 2 + -3x = 12 + -2x Combine like terms: -5 + 2 = -3 -3 + -3x = 12 + -2x Solving -3 + -3x = 12 + -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. -3 + -3x + 2x = 12 + -2x + 2x Combine like terms: -3x + 2x = -1x -3 + -1x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + -1x = 12 + 0 -3 + -1x = 12 Add '3' to each side of the equation. -3 + 3 + -1x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 12 + 3 -1x = 12 + 3 Combine like terms: 12 + 3 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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