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Simplifying 34 + (0.08) * x = 91 + -1(0.02) * x Multiply -1 * 0.02 34 + 0.08x = 91 + -0.02x Solving 34 + 0.08x = 91 + -0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.02x' to each side of the equation. 34 + 0.08x + 0.02x = 91 + -0.02x + 0.02x Combine like terms: 0.08x + 0.02x = 0.1x 34 + 0.1x = 91 + -0.02x + 0.02x Combine like terms: -0.02x + 0.02x = 0.00 34 + 0.1x = 91 + 0.00 34 + 0.1x = 91 Add '-34' to each side of the equation. 34 + -34 + 0.1x = 91 + -34 Combine like terms: 34 + -34 = 0 0 + 0.1x = 91 + -34 0.1x = 91 + -34 Combine like terms: 91 + -34 = 57 0.1x = 57 Divide each side by '0.1'. x = 570 Simplifying x = 570
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