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Simplifying -4(6 + -6x) + 2 = -1(-8 + -2x) + -8 (6 * -4 + -6x * -4) + 2 = -1(-8 + -2x) + -8 (-24 + 24x) + 2 = -1(-8 + -2x) + -8 Reorder the terms: -24 + 2 + 24x = -1(-8 + -2x) + -8 Combine like terms: -24 + 2 = -22 -22 + 24x = -1(-8 + -2x) + -8 -22 + 24x = (-8 * -1 + -2x * -1) + -8 -22 + 24x = (8 + 2x) + -8 Reorder the terms: -22 + 24x = 8 + -8 + 2x Combine like terms: 8 + -8 = 0 -22 + 24x = 0 + 2x -22 + 24x = 2x Solving -22 + 24x = 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. -22 + 24x + -2x = 2x + -2x Combine like terms: 24x + -2x = 22x -22 + 22x = 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 22x = 0 Add '22' to each side of the equation. -22 + 22 + 22x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 22x = 0 + 22 22x = 0 + 22 Combine like terms: 0 + 22 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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