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Simplifying 98 = 0.06x + 0.1(x + -300) Reorder the terms: 98 = 0.06x + 0.1(-300 + x) 98 = 0.06x + (-300 * 0.1 + x * 0.1) 98 = 0.06x + (-30 + 0.1x) Reorder the terms: 98 = -30 + 0.06x + 0.1x Combine like terms: 0.06x + 0.1x = 0.16x 98 = -30 + 0.16x Solving 98 = -30 + 0.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.16x' to each side of the equation. 98 + -0.16x = -30 + 0.16x + -0.16x Combine like terms: 0.16x + -0.16x = 0.00 98 + -0.16x = -30 + 0.00 98 + -0.16x = -30 Add '-98' to each side of the equation. 98 + -98 + -0.16x = -30 + -98 Combine like terms: 98 + -98 = 0 0 + -0.16x = -30 + -98 -0.16x = -30 + -98 Combine like terms: -30 + -98 = -128 -0.16x = -128 Divide each side by '-0.16'. x = 800 Simplifying x = 800
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