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Simplifying -6(-1x + -2) = 8(x + 20) Reorder the terms: -6(-2 + -1x) = 8(x + 20) (-2 * -6 + -1x * -6) = 8(x + 20) (12 + 6x) = 8(x + 20) Reorder the terms: 12 + 6x = 8(20 + x) 12 + 6x = (20 * 8 + x * 8) 12 + 6x = (160 + 8x) Solving 12 + 6x = 160 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 6x + -8x = 160 + 8x + -8x Combine like terms: 6x + -8x = -2x 12 + -2x = 160 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -2x = 160 + 0 12 + -2x = 160 Add '-12' to each side of the equation. 12 + -12 + -2x = 160 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 160 + -12 -2x = 160 + -12 Combine like terms: 160 + -12 = 148 -2x = 148 Divide each side by '-2'. x = -74 Simplifying x = -74
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