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Simplifying 5(6x + 3) + -4(5x + 1) = 41 Reorder the terms: 5(3 + 6x) + -4(5x + 1) = 41 (3 * 5 + 6x * 5) + -4(5x + 1) = 41 (15 + 30x) + -4(5x + 1) = 41 Reorder the terms: 15 + 30x + -4(1 + 5x) = 41 15 + 30x + (1 * -4 + 5x * -4) = 41 15 + 30x + (-4 + -20x) = 41 Reorder the terms: 15 + -4 + 30x + -20x = 41 Combine like terms: 15 + -4 = 11 11 + 30x + -20x = 41 Combine like terms: 30x + -20x = 10x 11 + 10x = 41 Solving 11 + 10x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 10x = 41 + -11 Combine like terms: 11 + -11 = 0 0 + 10x = 41 + -11 10x = 41 + -11 Combine like terms: 41 + -11 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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