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Simplifying -24.5 = 9 + 8(x + -9.5) Reorder the terms: -24.5 = 9 + 8(-9.5 + x) -24.5 = 9 + (-9.5 * 8 + x * 8) -24.5 = 9 + (-76 + 8x) Combine like terms: 9 + -76 = -67 -24.5 = -67 + 8x Solving -24.5 = -67 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -24.5 + -8x = -67 + 8x + -8x Combine like terms: 8x + -8x = 0 -24.5 + -8x = -67 + 0 -24.5 + -8x = -67 Add '24.5' to each side of the equation. -24.5 + 24.5 + -8x = -67 + 24.5 Combine like terms: -24.5 + 24.5 = 0.0 0.0 + -8x = -67 + 24.5 -8x = -67 + 24.5 Combine like terms: -67 + 24.5 = -42.5 -8x = -42.5 Divide each side by '-8'. x = 5.3125 Simplifying x = 5.3125
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