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