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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 = -2x -2 + -2x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -2x = 12 + 0 -2 + -2x = 12 Add '2' to each side of the equation. -2 + 2 + -2x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 12 + 2 -2x = 12 + 2 Combine like terms: 12 + 2 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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