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