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Simplifying 10x + -35 + 3ax = 5ax + -7x Reorder the terms: -35 + 3ax + 10x = 5ax + -7x Solving -35 + 3ax + 10x = 5ax + -7x 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 = 5ax + -5ax + -7x Combine like terms: 3ax + -5ax = -2ax -35 + -2ax + 10x = 5ax + -5ax + -7x Combine like terms: 5ax + -5ax = 0 -35 + -2ax + 10x = 0 + -7x -35 + -2ax + 10x = -7x Add '35' to each side of the equation. -35 + -2ax + 35 + 10x = 35 + -7x Reorder the terms: -35 + 35 + -2ax + 10x = 35 + -7x Combine like terms: -35 + 35 = 0 0 + -2ax + 10x = 35 + -7x -2ax + 10x = 35 + -7x Add '-10x' to each side of the equation. -2ax + 10x + -10x = 35 + -7x + -10x Combine like terms: 10x + -10x = 0 -2ax + 0 = 35 + -7x + -10x -2ax = 35 + -7x + -10x Combine like terms: -7x + -10x = -17x -2ax = 35 + -17x Divide each side by '-2x'. a = -17.5x-1 + 8.5 Simplifying a = -17.5x-1 + 8.5 Reorder the terms: a = 8.5 + -17.5x-1
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