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