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Simplifying -12x + 8(1 + -10x) = 8(-11x + 1) -12x + (1 * 8 + -10x * 8) = 8(-11x + 1) -12x + (8 + -80x) = 8(-11x + 1) Reorder the terms: 8 + -12x + -80x = 8(-11x + 1) Combine like terms: -12x + -80x = -92x 8 + -92x = 8(-11x + 1) Reorder the terms: 8 + -92x = 8(1 + -11x) 8 + -92x = (1 * 8 + -11x * 8) 8 + -92x = (8 + -88x) Add '-8' to each side of the equation. 8 + -8 + -92x = 8 + -8 + -88x Combine like terms: 8 + -8 = 0 0 + -92x = 8 + -8 + -88x -92x = 8 + -8 + -88x Combine like terms: 8 + -8 = 0 -92x = 0 + -88x -92x = -88x Solving -92x = -88x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '88x' to each side of the equation. -92x + 88x = -88x + 88x Combine like terms: -92x + 88x = -4x -4x = -88x + 88x Combine like terms: -88x + 88x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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