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Simplifying 10x + 7 + -4ax = 4ax + 3 Reorder the terms: 7 + -4ax + 10x = 4ax + 3 Reorder the terms: 7 + -4ax + 10x = 3 + 4ax Solving 7 + -4ax + 10x = 3 + 4ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4ax' to each side of the equation. 7 + -4ax + -4ax + 10x = 3 + 4ax + -4ax Combine like terms: -4ax + -4ax = -8ax 7 + -8ax + 10x = 3 + 4ax + -4ax Combine like terms: 4ax + -4ax = 0 7 + -8ax + 10x = 3 + 0 7 + -8ax + 10x = 3 Add '-7' to each side of the equation. 7 + -8ax + -7 + 10x = 3 + -7 Reorder the terms: 7 + -7 + -8ax + 10x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -8ax + 10x = 3 + -7 -8ax + 10x = 3 + -7 Combine like terms: 3 + -7 = -4 -8ax + 10x = -4 Add '-10x' to each side of the equation. -8ax + 10x + -10x = -4 + -10x Combine like terms: 10x + -10x = 0 -8ax + 0 = -4 + -10x -8ax = -4 + -10x Divide each side by '-8x'. a = 0.5x-1 + 1.25 Simplifying a = 0.5x-1 + 1.25 Reorder the terms: a = 1.25 + 0.5x-1
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