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Simplifying 35(34 + -1x) = 70(7x + -13) (34 * 35 + -1x * 35) = 70(7x + -13) (1190 + -35x) = 70(7x + -13) Reorder the terms: 1190 + -35x = 70(-13 + 7x) 1190 + -35x = (-13 * 70 + 7x * 70) 1190 + -35x = (-910 + 490x) Solving 1190 + -35x = -910 + 490x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-490x' to each side of the equation. 1190 + -35x + -490x = -910 + 490x + -490x Combine like terms: -35x + -490x = -525x 1190 + -525x = -910 + 490x + -490x Combine like terms: 490x + -490x = 0 1190 + -525x = -910 + 0 1190 + -525x = -910 Add '-1190' to each side of the equation. 1190 + -1190 + -525x = -910 + -1190 Combine like terms: 1190 + -1190 = 0 0 + -525x = -910 + -1190 -525x = -910 + -1190 Combine like terms: -910 + -1190 = -2100 -525x = -2100 Divide each side by '-525'. x = 4 Simplifying x = 4
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