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Simplifying 30 = (x * 1.07) + -1(x * 1.07) * 0.08 Reorder the terms for easier multiplication: 30 = (1.07x) + -1(x * 1.07) * 0.08 Reorder the terms for easier multiplication: 30 = (1.07x) + -1(1.07x) * 0.08 Remove parenthesis around (1.07x) 30 = (1.07x) + -1 * 1.07x * 0.08 Reorder the terms for easier multiplication: 30 = (1.07x) + -1 * 1.07 * 0.08x Multiply -1 * 1.07 30 = (1.07x) + -1.07 * 0.08x Multiply -1.07 * 0.08 30 = (1.07x) + -0.0856x Combine like terms: (1.07x) + -0.0856x = 0.9844x 30 = 0.9844x Solving 30 = 0.9844x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9844x' to each side of the equation. 30 + -0.9844x = 0.9844x + -0.9844x Combine like terms: 0.9844x + -0.9844x = 0.0000 30 + -0.9844x = 0.0000 Add '-30' to each side of the equation. 30 + -30 + -0.9844x = 0.0000 + -30 Combine like terms: 30 + -30 = 0 0 + -0.9844x = 0.0000 + -30 -0.9844x = 0.0000 + -30 Combine like terms: 0.0000 + -30 = -30 -0.9844x = -30 Divide each side by '-0.9844'. x = 30.4754165 Simplifying x = 30.4754165
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