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Simplifying 2(0.5x + 5) + -7(2.5x + 9) = 0 Reorder the terms: 2(5 + 0.5x) + -7(2.5x + 9) = 0 (5 * 2 + 0.5x * 2) + -7(2.5x + 9) = 0 (10 + 1x) + -7(2.5x + 9) = 0 Reorder the terms: 10 + 1x + -7(9 + 2.5x) = 0 10 + 1x + (9 * -7 + 2.5x * -7) = 0 10 + 1x + (-63 + -17.5x) = 0 Reorder the terms: 10 + -63 + 1x + -17.5x = 0 Combine like terms: 10 + -63 = -53 -53 + 1x + -17.5x = 0 Combine like terms: 1x + -17.5x = -16.5x -53 + -16.5x = 0 Solving -53 + -16.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + -16.5x = 0 + 53 Combine like terms: -53 + 53 = 0 0 + -16.5x = 0 + 53 -16.5x = 0 + 53 Combine like terms: 0 + 53 = 53 -16.5x = 53 Divide each side by '-16.5'. x = -3.212121212 Simplifying x = -3.212121212
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