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Simplifying 4(x + 2) + 1 + -2(x + 4) = 0 Reorder the terms: 4(2 + x) + 1 + -2(x + 4) = 0 (2 * 4 + x * 4) + 1 + -2(x + 4) = 0 (8 + 4x) + 1 + -2(x + 4) = 0 Reorder the terms: 8 + 4x + 1 + -2(4 + x) = 0 8 + 4x + 1 + (4 * -2 + x * -2) = 0 8 + 4x + 1 + (-8 + -2x) = 0 Reorder the terms: 8 + 1 + -8 + 4x + -2x = 0 Combine like terms: 8 + 1 = 9 9 + -8 + 4x + -2x = 0 Combine like terms: 9 + -8 = 1 1 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x 1 + 2x = 0 Solving 1 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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