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Simplifying -8x + 3(1 + 2x) = -2x + 3(1 + 4x) -8x + (1 * 3 + 2x * 3) = -2x + 3(1 + 4x) -8x + (3 + 6x) = -2x + 3(1 + 4x) Reorder the terms: 3 + -8x + 6x = -2x + 3(1 + 4x) Combine like terms: -8x + 6x = -2x 3 + -2x = -2x + 3(1 + 4x) 3 + -2x = -2x + (1 * 3 + 4x * 3) 3 + -2x = -2x + (3 + 12x) Reorder the terms: 3 + -2x = 3 + -2x + 12x Combine like terms: -2x + 12x = 10x 3 + -2x = 3 + 10x Add '-3' to each side of the equation. 3 + -3 + -2x = 3 + -3 + 10x Combine like terms: 3 + -3 = 0 0 + -2x = 3 + -3 + 10x -2x = 3 + -3 + 10x Combine like terms: 3 + -3 = 0 -2x = 0 + 10x -2x = 10x Solving -2x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2x + -10x = 10x + -10x Combine like terms: -2x + -10x = -12x -12x = 10x + -10x Combine like terms: 10x + -10x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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