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Simplifying 4(2x + 1) + 5(3 + -1x) = 20 Reorder the terms: 4(1 + 2x) + 5(3 + -1x) = 20 (1 * 4 + 2x * 4) + 5(3 + -1x) = 20 (4 + 8x) + 5(3 + -1x) = 20 4 + 8x + (3 * 5 + -1x * 5) = 20 4 + 8x + (15 + -5x) = 20 Reorder the terms: 4 + 15 + 8x + -5x = 20 Combine like terms: 4 + 15 = 19 19 + 8x + -5x = 20 Combine like terms: 8x + -5x = 3x 19 + 3x = 20 Solving 19 + 3x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 3x = 20 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 20 + -19 3x = 20 + -19 Combine like terms: 20 + -19 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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