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Simplifying 4(x + 2) + -1ax = 2x + 13 Reorder the terms: 4(2 + x) + -1ax = 2x + 13 (2 * 4 + x * 4) + -1ax = 2x + 13 (8 + 4x) + -1ax = 2x + 13 Reorder the terms: 8 + -1ax + 4x = 2x + 13 Reorder the terms: 8 + -1ax + 4x = 13 + 2x Solving 8 + -1ax + 4x = 13 + 2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -1ax + -8 + 4x = 13 + -8 + 2x Reorder the terms: 8 + -8 + -1ax + 4x = 13 + -8 + 2x Combine like terms: 8 + -8 = 0 0 + -1ax + 4x = 13 + -8 + 2x -1ax + 4x = 13 + -8 + 2x Combine like terms: 13 + -8 = 5 -1ax + 4x = 5 + 2x Add '-4x' to each side of the equation. -1ax + 4x + -4x = 5 + 2x + -4x Combine like terms: 4x + -4x = 0 -1ax + 0 = 5 + 2x + -4x -1ax = 5 + 2x + -4x Combine like terms: 2x + -4x = -2x -1ax = 5 + -2x Divide each side by '-1x'. a = -5x-1 + 2 Simplifying a = -5x-1 + 2 Reorder the terms: a = 2 + -5x-1
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