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Simplifying 500 + -10x = 600 + -12x Solving 500 + -10x = 600 + -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. 500 + -10x + 12x = 600 + -12x + 12x Combine like terms: -10x + 12x = 2x 500 + 2x = 600 + -12x + 12x Combine like terms: -12x + 12x = 0 500 + 2x = 600 + 0 500 + 2x = 600 Add '-500' to each side of the equation. 500 + -500 + 2x = 600 + -500 Combine like terms: 500 + -500 = 0 0 + 2x = 600 + -500 2x = 600 + -500 Combine like terms: 600 + -500 = 100 2x = 100 Divide each side by '2'. x = 50 Simplifying x = 50
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