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Simplifying 5(2x + 1) + 3(1 + -2x) = 20 Reorder the terms: 5(1 + 2x) + 3(1 + -2x) = 20 (1 * 5 + 2x * 5) + 3(1 + -2x) = 20 (5 + 10x) + 3(1 + -2x) = 20 5 + 10x + (1 * 3 + -2x * 3) = 20 5 + 10x + (3 + -6x) = 20 Reorder the terms: 5 + 3 + 10x + -6x = 20 Combine like terms: 5 + 3 = 8 8 + 10x + -6x = 20 Combine like terms: 10x + -6x = 4x 8 + 4x = 20 Solving 8 + 4x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 20 + -8 4x = 20 + -8 Combine like terms: 20 + -8 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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