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Simplifying (3x + 1) + (3x + 1) = 8x + -2 Reorder the terms: (1 + 3x) + (3x + 1) = 8x + -2 Remove parenthesis around (1 + 3x) 1 + 3x + (3x + 1) = 8x + -2 Reorder the terms: 1 + 3x + (1 + 3x) = 8x + -2 Remove parenthesis around (1 + 3x) 1 + 3x + 1 + 3x = 8x + -2 Reorder the terms: 1 + 1 + 3x + 3x = 8x + -2 Combine like terms: 1 + 1 = 2 2 + 3x + 3x = 8x + -2 Combine like terms: 3x + 3x = 6x 2 + 6x = 8x + -2 Reorder the terms: 2 + 6x = -2 + 8x Solving 2 + 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. 2 + 6x + -8x = -2 + 8x + -8x Combine like terms: 6x + -8x = -2x 2 + -2x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -2x = -2 + 0 2 + -2x = -2 Add '-2' to each side of the equation. 2 + -2 + -2x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -2 + -2 -2x = -2 + -2 Combine like terms: -2 + -2 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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