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Simplifying 0.04(x) + 0.1(10) = 0.06(x + 10) Multiply 0.1 * 10 0.04x + 1 = 0.06(x + 10) Reorder the terms: 1 + 0.04x = 0.06(x + 10) Reorder the terms: 1 + 0.04x = 0.06(10 + x) 1 + 0.04x = (10 * 0.06 + x * 0.06) 1 + 0.04x = (0.6 + 0.06x) Solving 1 + 0.04x = 0.6 + 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 + 0.04x + -0.06x = 0.6 + 0.06x + -0.06x Combine like terms: 0.04x + -0.06x = -0.02x 1 + -0.02x = 0.6 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 1 + -0.02x = 0.6 + 0.00 1 + -0.02x = 0.6 Add '-1' to each side of the equation. 1 + -1 + -0.02x = 0.6 + -1 Combine like terms: 1 + -1 = 0 0 + -0.02x = 0.6 + -1 -0.02x = 0.6 + -1 Combine like terms: 0.6 + -1 = -0.4 -0.02x = -0.4 Divide each side by '-0.02'. x = 20 Simplifying x = 20
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