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