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Simplifying 7(2x + 1) = 2(4x + 5) Reorder the terms: 7(1 + 2x) = 2(4x + 5) (1 * 7 + 2x * 7) = 2(4x + 5) (7 + 14x) = 2(4x + 5) Reorder the terms: 7 + 14x = 2(5 + 4x) 7 + 14x = (5 * 2 + 4x * 2) 7 + 14x = (10 + 8x) Solving 7 + 14x = 10 + 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. 7 + 14x + -8x = 10 + 8x + -8x Combine like terms: 14x + -8x = 6x 7 + 6x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + 6x = 10 + 0 7 + 6x = 10 Add '-7' to each side of the equation. 7 + -7 + 6x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 10 + -7 6x = 10 + -7 Combine like terms: 10 + -7 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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