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Simplifying 0.18(x) + 0.08(100) = 0.14(x + 100) Multiply 0.08 * 100 0.18x + 8 = 0.14(x + 100) Reorder the terms: 8 + 0.18x = 0.14(x + 100) Reorder the terms: 8 + 0.18x = 0.14(100 + x) 8 + 0.18x = (100 * 0.14 + x * 0.14) 8 + 0.18x = (14 + 0.14x) Solving 8 + 0.18x = 14 + 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. 8 + 0.18x + -0.14x = 14 + 0.14x + -0.14x Combine like terms: 0.18x + -0.14x = 0.04x 8 + 0.04x = 14 + 0.14x + -0.14x Combine like terms: 0.14x + -0.14x = 0.00 8 + 0.04x = 14 + 0.00 8 + 0.04x = 14 Add '-8' to each side of the equation. 8 + -8 + 0.04x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 0.04x = 14 + -8 0.04x = 14 + -8 Combine like terms: 14 + -8 = 6 0.04x = 6 Divide each side by '0.04'. x = 150 Simplifying x = 150
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