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Simplifying 9x + 1 = 4(5x + -1) Reorder the terms: 1 + 9x = 4(5x + -1) Reorder the terms: 1 + 9x = 4(-1 + 5x) 1 + 9x = (-1 * 4 + 5x * 4) 1 + 9x = (-4 + 20x) Solving 1 + 9x = -4 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 1 + 9x + -20x = -4 + 20x + -20x Combine like terms: 9x + -20x = -11x 1 + -11x = -4 + 20x + -20x Combine like terms: 20x + -20x = 0 1 + -11x = -4 + 0 1 + -11x = -4 Add '-1' to each side of the equation. 1 + -1 + -11x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -11x = -4 + -1 -11x = -4 + -1 Combine like terms: -4 + -1 = -5 -11x = -5 Divide each side by '-11'. x = 0.4545454545 Simplifying x = 0.4545454545
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