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Simplifying -63x + 45(-7 + x) = -63x + -180 -63x + (-7 * 45 + x * 45) = -63x + -180 -63x + (-315 + 45x) = -63x + -180 Reorder the terms: -315 + -63x + 45x = -63x + -180 Combine like terms: -63x + 45x = -18x -315 + -18x = -63x + -180 Reorder the terms: -315 + -18x = -180 + -63x Solving -315 + -18x = -180 + -63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63x' to each side of the equation. -315 + -18x + 63x = -180 + -63x + 63x Combine like terms: -18x + 63x = 45x -315 + 45x = -180 + -63x + 63x Combine like terms: -63x + 63x = 0 -315 + 45x = -180 + 0 -315 + 45x = -180 Add '315' to each side of the equation. -315 + 315 + 45x = -180 + 315 Combine like terms: -315 + 315 = 0 0 + 45x = -180 + 315 45x = -180 + 315 Combine like terms: -180 + 315 = 135 45x = 135 Divide each side by '45'. x = 3 Simplifying x = 3
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