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Simplifying x + -5 + -2(x + -1) + 4(2x + 1) = 0 Reorder the terms: x + -5 + -2(-1 + x) + 4(2x + 1) = 0 x + -5 + (-1 * -2 + x * -2) + 4(2x + 1) = 0 x + -5 + (2 + -2x) + 4(2x + 1) = 0 Reorder the terms: x + -5 + 2 + -2x + 4(1 + 2x) = 0 x + -5 + 2 + -2x + (1 * 4 + 2x * 4) = 0 x + -5 + 2 + -2x + (4 + 8x) = 0 Reorder the terms: -5 + 2 + 4 + x + -2x + 8x = 0 Combine like terms: -5 + 2 = -3 -3 + 4 + x + -2x + 8x = 0 Combine like terms: -3 + 4 = 1 1 + x + -2x + 8x = 0 Combine like terms: x + -2x = -1x 1 + -1x + 8x = 0 Combine like terms: -1x + 8x = 7x 1 + 7x = 0 Solving 1 + 7x = 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 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429
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