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Simplifying -0.08x + 0.14(x + 400) = 62 Reorder the terms: -0.08x + 0.14(400 + x) = 62 -0.08x + (400 * 0.14 + x * 0.14) = 62 -0.08x + (56 + 0.14x) = 62 Reorder the terms: 56 + -0.08x + 0.14x = 62 Combine like terms: -0.08x + 0.14x = 0.06x 56 + 0.06x = 62 Solving 56 + 0.06x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 0.06x = 62 + -56 Combine like terms: 56 + -56 = 0 0 + 0.06x = 62 + -56 0.06x = 62 + -56 Combine like terms: 62 + -56 = 6 0.06x = 6 Divide each side by '0.06'. x = 100 Simplifying x = 100
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