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Simplifying 0.05x + 0.02(x + -3) = 0.05(x + 18) Reorder the terms: 0.05x + 0.02(-3 + x) = 0.05(x + 18) 0.05x + (-3 * 0.02 + x * 0.02) = 0.05(x + 18) 0.05x + (-0.06 + 0.02x) = 0.05(x + 18) Reorder the terms: -0.06 + 0.05x + 0.02x = 0.05(x + 18) Combine like terms: 0.05x + 0.02x = 0.07x -0.06 + 0.07x = 0.05(x + 18) Reorder the terms: -0.06 + 0.07x = 0.05(18 + x) -0.06 + 0.07x = (18 * 0.05 + x * 0.05) -0.06 + 0.07x = (0.9 + 0.05x) Solving -0.06 + 0.07x = 0.9 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -0.06 + 0.07x + -0.05x = 0.9 + 0.05x + -0.05x Combine like terms: 0.07x + -0.05x = 0.02x -0.06 + 0.02x = 0.9 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.06 + 0.02x = 0.9 + 0.00 -0.06 + 0.02x = 0.9 Add '0.06' to each side of the equation. -0.06 + 0.06 + 0.02x = 0.9 + 0.06 Combine like terms: -0.06 + 0.06 = 0.00 0.00 + 0.02x = 0.9 + 0.06 0.02x = 0.9 + 0.06 Combine like terms: 0.9 + 0.06 = 0.96 0.02x = 0.96 Divide each side by '0.02'. x = 48 Simplifying x = 48
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