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Simplifying ax + 4x + -1 = 2(x + 3) Reorder the terms: -1 + ax + 4x = 2(x + 3) Reorder the terms: -1 + ax + 4x = 2(3 + x) -1 + ax + 4x = (3 * 2 + x * 2) -1 + ax + 4x = (6 + 2x) Solving -1 + ax + 4x = 6 + 2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + ax + 1 + 4x = 6 + 1 + 2x Reorder the terms: -1 + 1 + ax + 4x = 6 + 1 + 2x Combine like terms: -1 + 1 = 0 0 + ax + 4x = 6 + 1 + 2x ax + 4x = 6 + 1 + 2x Combine like terms: 6 + 1 = 7 ax + 4x = 7 + 2x Add '-4x' to each side of the equation. ax + 4x + -4x = 7 + 2x + -4x Combine like terms: 4x + -4x = 0 ax + 0 = 7 + 2x + -4x ax = 7 + 2x + -4x Combine like terms: 2x + -4x = -2x ax = 7 + -2x Divide each side by 'x'. a = 7x-1 + -2 Simplifying a = 7x-1 + -2 Reorder the terms: a = -2 + 7x-1
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