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Simplifying 4(x + 2) + -1(x + 2) = 0 Reorder the terms: 4(2 + x) + -1(x + 2) = 0 (2 * 4 + x * 4) + -1(x + 2) = 0 (8 + 4x) + -1(x + 2) = 0 Reorder the terms: 8 + 4x + -1(2 + x) = 0 8 + 4x + (2 * -1 + x * -1) = 0 8 + 4x + (-2 + -1x) = 0 Reorder the terms: 8 + -2 + 4x + -1x = 0 Combine like terms: 8 + -2 = 6 6 + 4x + -1x = 0 Combine like terms: 4x + -1x = 3x 6 + 3x = 0 Solving 6 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 0 + -6 3x = 0 + -6 Combine like terms: 0 + -6 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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