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Simplifying x + (x + -125) = 3(x + -125) + -500 Reorder the terms: x + (-125 + x) = 3(x + -125) + -500 Remove parenthesis around (-125 + x) x + -125 + x = 3(x + -125) + -500 Reorder the terms: -125 + x + x = 3(x + -125) + -500 Combine like terms: x + x = 2x -125 + 2x = 3(x + -125) + -500 Reorder the terms: -125 + 2x = 3(-125 + x) + -500 -125 + 2x = (-125 * 3 + x * 3) + -500 -125 + 2x = (-375 + 3x) + -500 Reorder the terms: -125 + 2x = -375 + -500 + 3x Combine like terms: -375 + -500 = -875 -125 + 2x = -875 + 3x Solving -125 + 2x = -875 + 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. -125 + 2x + -3x = -875 + 3x + -3x Combine like terms: 2x + -3x = -1x -125 + -1x = -875 + 3x + -3x Combine like terms: 3x + -3x = 0 -125 + -1x = -875 + 0 -125 + -1x = -875 Add '125' to each side of the equation. -125 + 125 + -1x = -875 + 125 Combine like terms: -125 + 125 = 0 0 + -1x = -875 + 125 -1x = -875 + 125 Combine like terms: -875 + 125 = -750 -1x = -750 Divide each side by '-1'. x = 750 Simplifying x = 750
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