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Simplifying 5(90 + -7x) = x + -126 (90 * 5 + -7x * 5) = x + -126 (450 + -35x) = x + -126 Reorder the terms: 450 + -35x = -126 + x Solving 450 + -35x = -126 + 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 = -126 + x + -1x Combine like terms: -35x + -1x = -36x 450 + -36x = -126 + x + -1x Combine like terms: x + -1x = 0 450 + -36x = -126 + 0 450 + -36x = -126 Add '-450' to each side of the equation. 450 + -450 + -36x = -126 + -450 Combine like terms: 450 + -450 = 0 0 + -36x = -126 + -450 -36x = -126 + -450 Combine like terms: -126 + -450 = -576 -36x = -576 Divide each side by '-36'. x = 16 Simplifying x = 16
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