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Simplifying 5(4x + 1) + -3(3x + -1) = 30 Reorder the terms: 5(1 + 4x) + -3(3x + -1) = 30 (1 * 5 + 4x * 5) + -3(3x + -1) = 30 (5 + 20x) + -3(3x + -1) = 30 Reorder the terms: 5 + 20x + -3(-1 + 3x) = 30 5 + 20x + (-1 * -3 + 3x * -3) = 30 5 + 20x + (3 + -9x) = 30 Reorder the terms: 5 + 3 + 20x + -9x = 30 Combine like terms: 5 + 3 = 8 8 + 20x + -9x = 30 Combine like terms: 20x + -9x = 11x 8 + 11x = 30 Solving 8 + 11x = 30 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 + 11x = 30 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 30 + -8 11x = 30 + -8 Combine like terms: 30 + -8 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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