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Simplifying -4(x + -1) + -6x = 2(x + 2) + -8 Reorder the terms: -4(-1 + x) + -6x = 2(x + 2) + -8 (-1 * -4 + x * -4) + -6x = 2(x + 2) + -8 (4 + -4x) + -6x = 2(x + 2) + -8 Combine like terms: -4x + -6x = -10x 4 + -10x = 2(x + 2) + -8 Reorder the terms: 4 + -10x = 2(2 + x) + -8 4 + -10x = (2 * 2 + x * 2) + -8 4 + -10x = (4 + 2x) + -8 Reorder the terms: 4 + -10x = 4 + -8 + 2x Combine like terms: 4 + -8 = -4 4 + -10x = -4 + 2x Solving 4 + -10x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + -10x + -2x = -4 + 2x + -2x Combine like terms: -10x + -2x = -12x 4 + -12x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + -12x = -4 + 0 4 + -12x = -4 Add '-4' to each side of the equation. 4 + -4 + -12x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = -4 + -4 -12x = -4 + -4 Combine like terms: -4 + -4 = -8 -12x = -8 Divide each side by '-12'. x = 0.6666666667 Simplifying x = 0.6666666667
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