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