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Simplifying 5(90 + -1x) = x (90 * 5 + -1x * 5) = x (450 + -5x) = x Solving 450 + -5x = 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 + -5x + -1x = x + -1x Combine like terms: -5x + -1x = -6x 450 + -6x = x + -1x Combine like terms: x + -1x = 0 450 + -6x = 0 Add '-450' to each side of the equation. 450 + -450 + -6x = 0 + -450 Combine like terms: 450 + -450 = 0 0 + -6x = 0 + -450 -6x = 0 + -450 Combine like terms: 0 + -450 = -450 -6x = -450 Divide each side by '-6'. x = 75 Simplifying x = 75
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