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Simplifying 1200 = 300 + 2(x + -500) Reorder the terms: 1200 = 300 + 2(-500 + x) 1200 = 300 + (-500 * 2 + x * 2) 1200 = 300 + (-1000 + 2x) Combine like terms: 300 + -1000 = -700 1200 = -700 + 2x Solving 1200 = -700 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1200 + -2x = -700 + 2x + -2x Combine like terms: 2x + -2x = 0 1200 + -2x = -700 + 0 1200 + -2x = -700 Add '-1200' to each side of the equation. 1200 + -1200 + -2x = -700 + -1200 Combine like terms: 1200 + -1200 = 0 0 + -2x = -700 + -1200 -2x = -700 + -1200 Combine like terms: -700 + -1200 = -1900 -2x = -1900 Divide each side by '-2'. x = 950 Simplifying x = 950
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