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Simplifying 1000 + 800 + 5x = 700 + 500 + 9x Combine like terms: 1000 + 800 = 1800 1800 + 5x = 700 + 500 + 9x Combine like terms: 700 + 500 = 1200 1800 + 5x = 1200 + 9x Solving 1800 + 5x = 1200 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1800 + 5x + -9x = 1200 + 9x + -9x Combine like terms: 5x + -9x = -4x 1800 + -4x = 1200 + 9x + -9x Combine like terms: 9x + -9x = 0 1800 + -4x = 1200 + 0 1800 + -4x = 1200 Add '-1800' to each side of the equation. 1800 + -1800 + -4x = 1200 + -1800 Combine like terms: 1800 + -1800 = 0 0 + -4x = 1200 + -1800 -4x = 1200 + -1800 Combine like terms: 1200 + -1800 = -600 -4x = -600 Divide each side by '-4'. x = 150 Simplifying x = 150
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