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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 = -2 -2 + 20x + -9x = 30 Combine like terms: 20x + -9x = 11x -2 + 11x = 30 Solving -2 + 11x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 11x = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 11x = 30 + 2 11x = 30 + 2 Combine like terms: 30 + 2 = 32 11x = 32 Divide each side by '11'. x = 2.909090909 Simplifying x = 2.909090909
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