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