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Simplifying 4(2x + 1) = 2(7x + 7) Reorder the terms: 4(1 + 2x) = 2(7x + 7) (1 * 4 + 2x * 4) = 2(7x + 7) (4 + 8x) = 2(7x + 7) Reorder the terms: 4 + 8x = 2(7 + 7x) 4 + 8x = (7 * 2 + 7x * 2) 4 + 8x = (14 + 14x) Solving 4 + 8x = 14 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 4 + 8x + -14x = 14 + 14x + -14x Combine like terms: 8x + -14x = -6x 4 + -6x = 14 + 14x + -14x Combine like terms: 14x + -14x = 0 4 + -6x = 14 + 0 4 + -6x = 14 Add '-4' to each side of the equation. 4 + -4 + -6x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 14 + -4 -6x = 14 + -4 Combine like terms: 14 + -4 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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