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Simplifying 4(x + 4) + -1(2x + 2) = 0 Reorder the terms: 4(4 + x) + -1(2x + 2) = 0 (4 * 4 + x * 4) + -1(2x + 2) = 0 (16 + 4x) + -1(2x + 2) = 0 Reorder the terms: 16 + 4x + -1(2 + 2x) = 0 16 + 4x + (2 * -1 + 2x * -1) = 0 16 + 4x + (-2 + -2x) = 0 Reorder the terms: 16 + -2 + 4x + -2x = 0 Combine like terms: 16 + -2 = 14 14 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x 14 + 2x = 0 Solving 14 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 0 + -14 2x = 0 + -14 Combine like terms: 0 + -14 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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