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Simplifying -76.3(x + 0.5) = 784.2 Reorder the terms: -76.3(0.5 + x) = 784.2 (0.5 * -76.3 + x * -76.3) = 784.2 (-38.15 + -76.3x) = 784.2 Solving -38.15 + -76.3x = 784.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38.15' to each side of the equation. -38.15 + 38.15 + -76.3x = 784.2 + 38.15 Combine like terms: -38.15 + 38.15 = 0.00 0.00 + -76.3x = 784.2 + 38.15 -76.3x = 784.2 + 38.15 Combine like terms: 784.2 + 38.15 = 822.35 -76.3x = 822.35 Divide each side by '-76.3'. x = -10.77785059 Simplifying x = -10.77785059
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