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Simplifying 2(0.5x + 7) + -3(2.5x + 8) = 0 Reorder the terms: 2(7 + 0.5x) + -3(2.5x + 8) = 0 (7 * 2 + 0.5x * 2) + -3(2.5x + 8) = 0 (14 + 1x) + -3(2.5x + 8) = 0 Reorder the terms: 14 + 1x + -3(8 + 2.5x) = 0 14 + 1x + (8 * -3 + 2.5x * -3) = 0 14 + 1x + (-24 + -7.5x) = 0 Reorder the terms: 14 + -24 + 1x + -7.5x = 0 Combine like terms: 14 + -24 = -10 -10 + 1x + -7.5x = 0 Combine like terms: 1x + -7.5x = -6.5x -10 + -6.5x = 0 Solving -10 + -6.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -6.5x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -6.5x = 0 + 10 -6.5x = 0 + 10 Combine like terms: 0 + 10 = 10 -6.5x = 10 Divide each side by '-6.5'. x = -1.538461538 Simplifying x = -1.538461538
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