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Simplifying 5(8x + -2) = 30 + -9x Reorder the terms: 5(-2 + 8x) = 30 + -9x (-2 * 5 + 8x * 5) = 30 + -9x (-10 + 40x) = 30 + -9x Solving -10 + 40x = 30 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -10 + 40x + 9x = 30 + -9x + 9x Combine like terms: 40x + 9x = 49x -10 + 49x = 30 + -9x + 9x Combine like terms: -9x + 9x = 0 -10 + 49x = 30 + 0 -10 + 49x = 30 Add '10' to each side of the equation. -10 + 10 + 49x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 49x = 30 + 10 49x = 30 + 10 Combine like terms: 30 + 10 = 40 49x = 40 Divide each side by '49'. x = 0.8163265306 Simplifying x = 0.8163265306
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