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Simplifying 0.18(x) + 0.08(200) = 0.14(x + 200) Multiply 0.08 * 200 0.18x + 16 = 0.14(x + 200) Reorder the terms: 16 + 0.18x = 0.14(x + 200) Reorder the terms: 16 + 0.18x = 0.14(200 + x) 16 + 0.18x = (200 * 0.14 + x * 0.14) 16 + 0.18x = (28 + 0.14x) Solving 16 + 0.18x = 28 + 0.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.14x' to each side of the equation. 16 + 0.18x + -0.14x = 28 + 0.14x + -0.14x Combine like terms: 0.18x + -0.14x = 0.04x 16 + 0.04x = 28 + 0.14x + -0.14x Combine like terms: 0.14x + -0.14x = 0.00 16 + 0.04x = 28 + 0.00 16 + 0.04x = 28 Add '-16' to each side of the equation. 16 + -16 + 0.04x = 28 + -16 Combine like terms: 16 + -16 = 0 0 + 0.04x = 28 + -16 0.04x = 28 + -16 Combine like terms: 28 + -16 = 12 0.04x = 12 Divide each side by '0.04'. x = 300 Simplifying x = 300
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