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Simplifying 4(x + 1) + -2(-1x + -1) = 0 Reorder the terms: 4(1 + x) + -2(-1x + -1) = 0 (1 * 4 + x * 4) + -2(-1x + -1) = 0 (4 + 4x) + -2(-1x + -1) = 0 Reorder the terms: 4 + 4x + -2(-1 + -1x) = 0 4 + 4x + (-1 * -2 + -1x * -2) = 0 4 + 4x + (2 + 2x) = 0 Reorder the terms: 4 + 2 + 4x + 2x = 0 Combine like terms: 4 + 2 = 6 6 + 4x + 2x = 0 Combine like terms: 4x + 2x = 6x 6 + 6x = 0 Solving 6 + 6x = 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 + 6x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 0 + -6 6x = 0 + -6 Combine like terms: 0 + -6 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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