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Simplifying 0.06(100 + -1x) + 0.04x = 0.05(92) (100 * 0.06 + -1x * 0.06) + 0.04x = 0.05(92) (6 + -0.06x) + 0.04x = 0.05(92) Combine like terms: -0.06x + 0.04x = -0.02x 6 + -0.02x = 0.05(92) Multiply 0.05 * 92 6 + -0.02x = 4.6 Solving 6 + -0.02x = 4.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -0.02x = 4.6 + -6 Combine like terms: 6 + -6 = 0 0 + -0.02x = 4.6 + -6 -0.02x = 4.6 + -6 Combine like terms: 4.6 + -6 = -1.4 -0.02x = -1.4 Divide each side by '-0.02'. x = 70 Simplifying x = 70
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