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Simplifying 4(2x + 2) = 2x + 1 Reorder the terms: 4(2 + 2x) = 2x + 1 (2 * 4 + 2x * 4) = 2x + 1 (8 + 8x) = 2x + 1 Reorder the terms: 8 + 8x = 1 + 2x Solving 8 + 8x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 8x + -2x = 1 + 2x + -2x Combine like terms: 8x + -2x = 6x 8 + 6x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 6x = 1 + 0 8 + 6x = 1 Add '-8' to each side of the equation. 8 + -8 + 6x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 1 + -8 6x = 1 + -8 Combine like terms: 1 + -8 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667
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