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