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Simplifying 10x + -35 + 3ax = 5ax + -7 Reorder the terms: -35 + 3ax + 10x = 5ax + -7 Reorder the terms: -35 + 3ax + 10x = -7 + 5ax Solving -35 + 3ax + 10x = -7 + 5ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5ax' to each side of the equation. -35 + 3ax + -5ax + 10x = -7 + 5ax + -5ax Combine like terms: 3ax + -5ax = -2ax -35 + -2ax + 10x = -7 + 5ax + -5ax Combine like terms: 5ax + -5ax = 0 -35 + -2ax + 10x = -7 + 0 -35 + -2ax + 10x = -7 Add '35' to each side of the equation. -35 + -2ax + 35 + 10x = -7 + 35 Reorder the terms: -35 + 35 + -2ax + 10x = -7 + 35 Combine like terms: -35 + 35 = 0 0 + -2ax + 10x = -7 + 35 -2ax + 10x = -7 + 35 Combine like terms: -7 + 35 = 28 -2ax + 10x = 28 Add '-10x' to each side of the equation. -2ax + 10x + -10x = 28 + -10x Combine like terms: 10x + -10x = 0 -2ax + 0 = 28 + -10x -2ax = 28 + -10x Divide each side by '-2x'. a = -14x-1 + 5 Simplifying a = -14x-1 + 5 Reorder the terms: a = 5 + -14x-1
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