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Simplifying 0.098 = (1 + -1x) * 0.13 + x * 0.065(1 + -0.35) Reorder the terms for easier multiplication: 0.098 = 0.13(1 + -1x) + x * 0.065(1 + -0.35) 0.098 = (1 * 0.13 + -1x * 0.13) + x * 0.065(1 + -0.35) 0.098 = (0.13 + -0.13x) + x * 0.065(1 + -0.35) Combine like terms: 1 + -0.35 = 0.65 0.098 = 0.13 + -0.13x + x * 0.065(0.65) Reorder the terms for easier multiplication: 0.098 = 0.13 + -0.13x + 0.065 * 0.65x Multiply 0.065 * 0.65 0.098 = 0.13 + -0.13x + 0.04225x Combine like terms: -0.13x + 0.04225x = -0.08775x 0.098 = 0.13 + -0.08775x Solving 0.098 = 0.13 + -0.08775x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.08775x' to each side of the equation. 0.098 + 0.08775x = 0.13 + -0.08775x + 0.08775x Combine like terms: -0.08775x + 0.08775x = 0.00000 0.098 + 0.08775x = 0.13 + 0.00000 0.098 + 0.08775x = 0.13 Add '-0.098' to each side of the equation. 0.098 + -0.098 + 0.08775x = 0.13 + -0.098 Combine like terms: 0.098 + -0.098 = 0.000 0.000 + 0.08775x = 0.13 + -0.098 0.08775x = 0.13 + -0.098 Combine like terms: 0.13 + -0.098 = 0.032 0.08775x = 0.032 Divide each side by '0.08775'. x = 0.3646723647 Simplifying x = 0.3646723647
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