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Simplifying 0.85x + 0.89(8 + -1x) = 6.96 0.85x + (8 * 0.89 + -1x * 0.89) = 6.96 0.85x + (7.12 + -0.89x) = 6.96 Reorder the terms: 7.12 + 0.85x + -0.89x = 6.96 Combine like terms: 0.85x + -0.89x = -0.04x 7.12 + -0.04x = 6.96 Solving 7.12 + -0.04x = 6.96 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.12' to each side of the equation. 7.12 + -7.12 + -0.04x = 6.96 + -7.12 Combine like terms: 7.12 + -7.12 = 0.00 0.00 + -0.04x = 6.96 + -7.12 -0.04x = 6.96 + -7.12 Combine like terms: 6.96 + -7.12 = -0.16 -0.04x = -0.16 Divide each side by '-0.04'. x = 4 Simplifying x = 4
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