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Simplifying 315 = 35x + 35(x + -5) Reorder the terms: 315 = 35x + 35(-5 + x) 315 = 35x + (-5 * 35 + x * 35) 315 = 35x + (-175 + 35x) Reorder the terms: 315 = -175 + 35x + 35x Combine like terms: 35x + 35x = 70x 315 = -175 + 70x Solving 315 = -175 + 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. 315 + -70x = -175 + 70x + -70x Combine like terms: 70x + -70x = 0 315 + -70x = -175 + 0 315 + -70x = -175 Add '-315' to each side of the equation. 315 + -315 + -70x = -175 + -315 Combine like terms: 315 + -315 = 0 0 + -70x = -175 + -315 -70x = -175 + -315 Combine like terms: -175 + -315 = -490 -70x = -490 Divide each side by '-70'. x = 7 Simplifying x = 7
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