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Simplifying 2x + 1 = 4(2x + 2) Reorder the terms: 1 + 2x = 4(2x + 2) Reorder the terms: 1 + 2x = 4(2 + 2x) 1 + 2x = (2 * 4 + 2x * 4) 1 + 2x = (8 + 8x) Solving 1 + 2x = 8 + 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. 1 + 2x + -8x = 8 + 8x + -8x Combine like terms: 2x + -8x = -6x 1 + -6x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -6x = 8 + 0 1 + -6x = 8 Add '-1' to each side of the equation. 1 + -1 + -6x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 8 + -1 -6x = 8 + -1 Combine like terms: 8 + -1 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667
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