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Simplifying (1 + -1x) * 102 + x * 89.4 = 91.93 Reorder the terms for easier multiplication: 102(1 + -1x) + x * 89.4 = 91.93 (1 * 102 + -1x * 102) + x * 89.4 = 91.93 (102 + -102x) + x * 89.4 = 91.93 Reorder the terms for easier multiplication: 102 + -102x + 89.4x = 91.93 Combine like terms: -102x + 89.4x = -12.6x 102 + -12.6x = 91.93 Solving 102 + -12.6x = 91.93 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + -12.6x = 91.93 + -102 Combine like terms: 102 + -102 = 0 0 + -12.6x = 91.93 + -102 -12.6x = 91.93 + -102 Combine like terms: 91.93 + -102 = -10.07 -12.6x = -10.07 Divide each side by '-12.6'. x = 0.7992063492 Simplifying x = 0.7992063492
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