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