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Simplifying 4(x + 1) + -1ax = x + 5 Reorder the terms: 4(1 + x) + -1ax = x + 5 (1 * 4 + x * 4) + -1ax = x + 5 (4 + 4x) + -1ax = x + 5 Reorder the terms: 4 + -1ax + 4x = x + 5 Reorder the terms: 4 + -1ax + 4x = 5 + x Solving 4 + -1ax + 4x = 5 + x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1ax + -4 + 4x = 5 + -4 + x Reorder the terms: 4 + -4 + -1ax + 4x = 5 + -4 + x Combine like terms: 4 + -4 = 0 0 + -1ax + 4x = 5 + -4 + x -1ax + 4x = 5 + -4 + x Combine like terms: 5 + -4 = 1 -1ax + 4x = 1 + x Add '-4x' to each side of the equation. -1ax + 4x + -4x = 1 + x + -4x Combine like terms: 4x + -4x = 0 -1ax + 0 = 1 + x + -4x -1ax = 1 + x + -4x Combine like terms: x + -4x = -3x -1ax = 1 + -3x Divide each side by '-1x'. a = -1x-1 + 3 Simplifying a = -1x-1 + 3 Reorder the terms: a = 3 + -1x-1
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