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Simplifying 5(25 + 100x) = 9 + -1(81x + -3) (25 * 5 + 100x * 5) = 9 + -1(81x + -3) (125 + 500x) = 9 + -1(81x + -3) Reorder the terms: 125 + 500x = 9 + -1(-3 + 81x) 125 + 500x = 9 + (-3 * -1 + 81x * -1) 125 + 500x = 9 + (3 + -81x) Combine like terms: 9 + 3 = 12 125 + 500x = 12 + -81x Solving 125 + 500x = 12 + -81x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81x' to each side of the equation. 125 + 500x + 81x = 12 + -81x + 81x Combine like terms: 500x + 81x = 581x 125 + 581x = 12 + -81x + 81x Combine like terms: -81x + 81x = 0 125 + 581x = 12 + 0 125 + 581x = 12 Add '-125' to each side of the equation. 125 + -125 + 581x = 12 + -125 Combine like terms: 125 + -125 = 0 0 + 581x = 12 + -125 581x = 12 + -125 Combine like terms: 12 + -125 = -113 581x = -113 Divide each side by '581'. x = -0.1944922547 Simplifying x = -0.1944922547
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