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Simplifying 35(12 + -1x) = 5(2x + -7) (12 * 35 + -1x * 35) = 5(2x + -7) (420 + -35x) = 5(2x + -7) Reorder the terms: 420 + -35x = 5(-7 + 2x) 420 + -35x = (-7 * 5 + 2x * 5) 420 + -35x = (-35 + 10x) Solving 420 + -35x = -35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 420 + -35x + -10x = -35 + 10x + -10x Combine like terms: -35x + -10x = -45x 420 + -45x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 420 + -45x = -35 + 0 420 + -45x = -35 Add '-420' to each side of the equation. 420 + -420 + -45x = -35 + -420 Combine like terms: 420 + -420 = 0 0 + -45x = -35 + -420 -45x = -35 + -420 Combine like terms: -35 + -420 = -455 -45x = -455 Divide each side by '-45'. x = 10.11111111 Simplifying x = 10.11111111
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