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Simplifying 0.02(62) + -0.08x = 0.06(x + 9) Multiply 0.02 * 62 1.24 + -0.08x = 0.06(x + 9) Reorder the terms: 1.24 + -0.08x = 0.06(9 + x) 1.24 + -0.08x = (9 * 0.06 + x * 0.06) 1.24 + -0.08x = (0.54 + 0.06x) Solving 1.24 + -0.08x = 0.54 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 1.24 + -0.08x + -0.06x = 0.54 + 0.06x + -0.06x Combine like terms: -0.08x + -0.06x = -0.14x 1.24 + -0.14x = 0.54 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 1.24 + -0.14x = 0.54 + 0.00 1.24 + -0.14x = 0.54 Add '-1.24' to each side of the equation. 1.24 + -1.24 + -0.14x = 0.54 + -1.24 Combine like terms: 1.24 + -1.24 = 0.00 0.00 + -0.14x = 0.54 + -1.24 -0.14x = 0.54 + -1.24 Combine like terms: 0.54 + -1.24 = -0.7 -0.14x = -0.7 Divide each side by '-0.14'. x = 5 Simplifying x = 5
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