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Simplifying 4x + -2 + -1x + 3(x + 1) = 0 Reorder the terms: 4x + -2 + -1x + 3(1 + x) = 0 4x + -2 + -1x + (1 * 3 + x * 3) = 0 4x + -2 + -1x + (3 + 3x) = 0 Reorder the terms: -2 + 3 + 4x + -1x + 3x = 0 Combine like terms: -2 + 3 = 1 1 + 4x + -1x + 3x = 0 Combine like terms: 4x + -1x = 3x 1 + 3x + 3x = 0 Combine like terms: 3x + 3x = 6x 1 + 6x = 0 Solving 1 + 6x = 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 + 6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 0 + -1 6x = 0 + -1 Combine like terms: 0 + -1 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667
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