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Simplifying 4(2x + 1) + 5(2x + 3) = 11 Reorder the terms: 4(1 + 2x) + 5(2x + 3) = 11 (1 * 4 + 2x * 4) + 5(2x + 3) = 11 (4 + 8x) + 5(2x + 3) = 11 Reorder the terms: 4 + 8x + 5(3 + 2x) = 11 4 + 8x + (3 * 5 + 2x * 5) = 11 4 + 8x + (15 + 10x) = 11 Reorder the terms: 4 + 15 + 8x + 10x = 11 Combine like terms: 4 + 15 = 19 19 + 8x + 10x = 11 Combine like terms: 8x + 10x = 18x 19 + 18x = 11 Solving 19 + 18x = 11 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 + 18x = 11 + -19 Combine like terms: 19 + -19 = 0 0 + 18x = 11 + -19 18x = 11 + -19 Combine like terms: 11 + -19 = -8 18x = -8 Divide each side by '18'. x = -0.4444444444 Simplifying x = -0.4444444444
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