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Simplifying x + -4 + -2(x + -1) + 3(2x + 1) = 0 Reorder the terms: x + -4 + -2(-1 + x) + 3(2x + 1) = 0 x + -4 + (-1 * -2 + x * -2) + 3(2x + 1) = 0 x + -4 + (2 + -2x) + 3(2x + 1) = 0 Reorder the terms: x + -4 + 2 + -2x + 3(1 + 2x) = 0 x + -4 + 2 + -2x + (1 * 3 + 2x * 3) = 0 x + -4 + 2 + -2x + (3 + 6x) = 0 Reorder the terms: -4 + 2 + 3 + x + -2x + 6x = 0 Combine like terms: -4 + 2 = -2 -2 + 3 + x + -2x + 6x = 0 Combine like terms: -2 + 3 = 1 1 + x + -2x + 6x = 0 Combine like terms: x + -2x = -1x 1 + -1x + 6x = 0 Combine like terms: -1x + 6x = 5x 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2
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