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Simplifying -10x + 8(1 + -3x) = 8(1 + 10x) -10x + (1 * 8 + -3x * 8) = 8(1 + 10x) -10x + (8 + -24x) = 8(1 + 10x) Reorder the terms: 8 + -10x + -24x = 8(1 + 10x) Combine like terms: -10x + -24x = -34x 8 + -34x = 8(1 + 10x) 8 + -34x = (1 * 8 + 10x * 8) 8 + -34x = (8 + 80x) Add '-8' to each side of the equation. 8 + -8 + -34x = 8 + -8 + 80x Combine like terms: 8 + -8 = 0 0 + -34x = 8 + -8 + 80x -34x = 8 + -8 + 80x Combine like terms: 8 + -8 = 0 -34x = 0 + 80x -34x = 80x Solving -34x = 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. -34x + -80x = 80x + -80x Combine like terms: -34x + -80x = -114x -114x = 80x + -80x Combine like terms: 80x + -80x = 0 -114x = 0 Divide each side by '-114'. x = 0 Simplifying x = 0
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