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Simplifying 5x + -10 = 3x + 12 Reorder the terms: -10 + 5x = 3x + 12 Reorder the terms: -10 + 5x = 12 + 3x Solving -10 + 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. -10 + 5x + -3x = 12 + 3x + -3x Combine like terms: 5x + -3x = 2x -10 + 2x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 2x = 12 + 0 -10 + 2x = 12 Add '10' to each side of the equation. -10 + 10 + 2x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 12 + 10 2x = 12 + 10 Combine like terms: 12 + 10 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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