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Simplifying 0.75 + 0.5(16 + -1x) = 0.10(-76) 0.75 + (16 * 0.5 + -1x * 0.5) = 0.10(-76) 0.75 + (8 + -0.5x) = 0.10(-76) Combine like terms: 0.75 + 8 = 8.75 8.75 + -0.5x = 0.10(-76) Multiply 0.10 * -76 8.75 + -0.5x = -7.6 Solving 8.75 + -0.5x = -7.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.75' to each side of the equation. 8.75 + -8.75 + -0.5x = -7.6 + -8.75 Combine like terms: 8.75 + -8.75 = 0.00 0.00 + -0.5x = -7.6 + -8.75 -0.5x = -7.6 + -8.75 Combine like terms: -7.6 + -8.75 = -16.35 -0.5x = -16.35 Divide each side by '-0.5'. x = 32.7 Simplifying x = 32.7
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