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