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Simplifying 4(x + -1) + -2x + -6(x + -3) + 8x = 0 Reorder the terms: 4(-1 + x) + -2x + -6(x + -3) + 8x = 0 (-1 * 4 + x * 4) + -2x + -6(x + -3) + 8x = 0 (-4 + 4x) + -2x + -6(x + -3) + 8x = 0 Reorder the terms: -4 + 4x + -2x + -6(-3 + x) + 8x = 0 -4 + 4x + -2x + (-3 * -6 + x * -6) + 8x = 0 -4 + 4x + -2x + (18 + -6x) + 8x = 0 Reorder the terms: -4 + 18 + 4x + -2x + -6x + 8x = 0 Combine like terms: -4 + 18 = 14 14 + 4x + -2x + -6x + 8x = 0 Combine like terms: 4x + -2x = 2x 14 + 2x + -6x + 8x = 0 Combine like terms: 2x + -6x = -4x 14 + -4x + 8x = 0 Combine like terms: -4x + 8x = 4x 14 + 4x = 0 Solving 14 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 0 + -14 4x = 0 + -14 Combine like terms: 0 + -14 = -14 4x = -14 Divide each side by '4'. x = -3.5 Simplifying x = -3.5
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