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Simplifying 3 + -5x = 10 + -12x Solving 3 + -5x = 10 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 3 + -5x + 12x = 10 + -12x + 12x Combine like terms: -5x + 12x = 7x 3 + 7x = 10 + -12x + 12x Combine like terms: -12x + 12x = 0 3 + 7x = 10 + 0 3 + 7x = 10 Add '-3' to each side of the equation. 3 + -3 + 7x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 10 + -3 7x = 10 + -3 Combine like terms: 10 + -3 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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