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Simplifying -3x + -2 = 5x + 12 Reorder the terms: -2 + -3x = 5x + 12 Reorder the terms: -2 + -3x = 12 + 5x Solving -2 + -3x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + -3x + -5x = 12 + 5x + -5x Combine like terms: -3x + -5x = -8x -2 + -8x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -8x = 12 + 0 -2 + -8x = 12 Add '2' to each side of the equation. -2 + 2 + -8x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 12 + 2 -8x = 12 + 2 Combine like terms: 12 + 2 = 14 -8x = 14 Divide each side by '-8'. x = -1.75 Simplifying x = -1.75
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