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Simplifying 0.15(80) + 0.5 = 8(80 + x) Multiply 0.15 * 80 12 + 0.5 = 8(80 + x) Combine like terms: 12 + 0.5 = 12.5 12.5 = 8(80 + x) 12.5 = (80 * 8 + x * 8) 12.5 = (640 + 8x) Solving 12.5 = 640 + 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. 12.5 + -8x = 640 + 8x + -8x Combine like terms: 8x + -8x = 0 12.5 + -8x = 640 + 0 12.5 + -8x = 640 Add '-12.5' to each side of the equation. 12.5 + -12.5 + -8x = 640 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + -8x = 640 + -12.5 -8x = 640 + -12.5 Combine like terms: 640 + -12.5 = 627.5 -8x = 627.5 Divide each side by '-8'. x = -78.4375 Simplifying x = -78.4375
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