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Simplifying (1500 + -1x) + -1200 + -1y = 3x + -1y Remove parenthesis around (1500 + -1x) 1500 + -1x + -1200 + -1y = 3x + -1y Reorder the terms: 1500 + -1200 + -1x + -1y = 3x + -1y Combine like terms: 1500 + -1200 = 300 300 + -1x + -1y = 3x + -1y Add 'y' to each side of the equation. 300 + -1x + -1y + y = 3x + -1y + y Combine like terms: -1y + y = 0 300 + -1x + 0 = 3x + -1y + y 300 + -1x = 3x + -1y + y Combine like terms: -1y + y = 0 300 + -1x = 3x + 0 300 + -1x = 3x Solving 300 + -1x = 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. 300 + -1x + -3x = 3x + -3x Combine like terms: -1x + -3x = -4x 300 + -4x = 3x + -3x Combine like terms: 3x + -3x = 0 300 + -4x = 0 Add '-300' to each side of the equation. 300 + -300 + -4x = 0 + -300 Combine like terms: 300 + -300 = 0 0 + -4x = 0 + -300 -4x = 0 + -300 Combine like terms: 0 + -300 = -300 -4x = -300 Divide each side by '-4'. x = 75 Simplifying x = 75
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