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Simplifying 5(90 + -7x) = x + -120 (90 * 5 + -7x * 5) = x + -120 (450 + -35x) = x + -120 Reorder the terms: 450 + -35x = -120 + x Solving 450 + -35x = -120 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 450 + -35x + -1x = -120 + x + -1x Combine like terms: -35x + -1x = -36x 450 + -36x = -120 + x + -1x Combine like terms: x + -1x = 0 450 + -36x = -120 + 0 450 + -36x = -120 Add '-450' to each side of the equation. 450 + -450 + -36x = -120 + -450 Combine like terms: 450 + -450 = 0 0 + -36x = -120 + -450 -36x = -120 + -450 Combine like terms: -120 + -450 = -570 -36x = -570 Divide each side by '-36'. x = 15.83333333 Simplifying x = 15.83333333
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