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Simplifying -2(6 + -10x) = 10(2x + -6) + (x + 8) (6 * -2 + -10x * -2) = 10(2x + -6) + (x + 8) (-12 + 20x) = 10(2x + -6) + (x + 8) Reorder the terms: -12 + 20x = 10(-6 + 2x) + (x + 8) -12 + 20x = (-6 * 10 + 2x * 10) + (x + 8) -12 + 20x = (-60 + 20x) + (x + 8) Reorder the terms: -12 + 20x = -60 + 20x + (8 + x) Remove parenthesis around (8 + x) -12 + 20x = -60 + 20x + 8 + x Reorder the terms: -12 + 20x = -60 + 8 + 20x + x Combine like terms: -60 + 8 = -52 -12 + 20x = -52 + 20x + x Combine like terms: 20x + x = 21x -12 + 20x = -52 + 21x Solving -12 + 20x = -52 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -12 + 20x + -21x = -52 + 21x + -21x Combine like terms: 20x + -21x = -1x -12 + -1x = -52 + 21x + -21x Combine like terms: 21x + -21x = 0 -12 + -1x = -52 + 0 -12 + -1x = -52 Add '12' to each side of the equation. -12 + 12 + -1x = -52 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -52 + 12 -1x = -52 + 12 Combine like terms: -52 + 12 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40
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