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Simplifying 9x + 100y + 29 = 32x(45 + 23y) Reorder the terms: 29 + 9x + 100y = 32x(45 + 23y) 29 + 9x + 100y = (45 * 32x + 23y * 32x) 29 + 9x + 100y = (1440x + 736xy) Solving 29 + 9x + 100y = 1440x + 736xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1440x' to each side of the equation. 29 + 9x + -1440x + 100y = 1440x + -1440x + 736xy Combine like terms: 9x + -1440x = -1431x 29 + -1431x + 100y = 1440x + -1440x + 736xy Combine like terms: 1440x + -1440x = 0 29 + -1431x + 100y = 0 + 736xy 29 + -1431x + 100y = 736xy Add '-736xy' to each side of the equation. 29 + -1431x + -736xy + 100y = 736xy + -736xy Combine like terms: 736xy + -736xy = 0 29 + -1431x + -736xy + 100y = 0 Add '-29' to each side of the equation. 29 + -1431x + -736xy + -29 + 100y = 0 + -29 Reorder the terms: 29 + -29 + -1431x + -736xy + 100y = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -1431x + -736xy + 100y = 0 + -29 -1431x + -736xy + 100y = 0 + -29 Combine like terms: 0 + -29 = -29 -1431x + -736xy + 100y = -29 Add '-100y' to each side of the equation. -1431x + -736xy + 100y + -100y = -29 + -100y Combine like terms: 100y + -100y = 0 -1431x + -736xy + 0 = -29 + -100y -1431x + -736xy = -29 + -100y Reorder the terms: 29 + -1431x + -736xy + 100y = -29 + -100y + 29 + 100y Reorder the terms: 29 + -1431x + -736xy + 100y = -29 + 29 + -100y + 100y Combine like terms: -29 + 29 = 0 29 + -1431x + -736xy + 100y = 0 + -100y + 100y 29 + -1431x + -736xy + 100y = -100y + 100y Combine like terms: -100y + 100y = 0 29 + -1431x + -736xy + 100y = 0 The solution to this equation could not be determined.
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