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Simplifying 6x + -8 = 2(2x + 1) Reorder the terms: -8 + 6x = 2(2x + 1) Reorder the terms: -8 + 6x = 2(1 + 2x) -8 + 6x = (1 * 2 + 2x * 2) -8 + 6x = (2 + 4x) Solving -8 + 6x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 6x + -4x = 2 + 4x + -4x Combine like terms: 6x + -4x = 2x -8 + 2x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 2x = 2 + 0 -8 + 2x = 2 Add '8' to each side of the equation. -8 + 8 + 2x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 2 + 8 2x = 2 + 8 Combine like terms: 2 + 8 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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