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Simplifying 0.1x + 0.2(200 + -1x) = 0.14 * 200 0.1x + (200 * 0.2 + -1x * 0.2) = 0.14 * 200 0.1x + (40 + -0.2x) = 0.14 * 200 Reorder the terms: 40 + 0.1x + -0.2x = 0.14 * 200 Combine like terms: 0.1x + -0.2x = -0.1x 40 + -0.1x = 0.14 * 200 Multiply 0.14 * 200 40 + -0.1x = 28 Solving 40 + -0.1x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -0.1x = 28 + -40 Combine like terms: 40 + -40 = 0 0 + -0.1x = 28 + -40 -0.1x = 28 + -40 Combine like terms: 28 + -40 = -12 -0.1x = -12 Divide each side by '-0.1'. x = 120 Simplifying x = 120
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