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