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Simplifying 8(9x + -1) = 7(9x + 1) + 417 Reorder the terms: 8(-1 + 9x) = 7(9x + 1) + 417 (-1 * 8 + 9x * 8) = 7(9x + 1) + 417 (-8 + 72x) = 7(9x + 1) + 417 Reorder the terms: -8 + 72x = 7(1 + 9x) + 417 -8 + 72x = (1 * 7 + 9x * 7) + 417 -8 + 72x = (7 + 63x) + 417 Reorder the terms: -8 + 72x = 7 + 417 + 63x Combine like terms: 7 + 417 = 424 -8 + 72x = 424 + 63x Solving -8 + 72x = 424 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. -8 + 72x + -63x = 424 + 63x + -63x Combine like terms: 72x + -63x = 9x -8 + 9x = 424 + 63x + -63x Combine like terms: 63x + -63x = 0 -8 + 9x = 424 + 0 -8 + 9x = 424 Add '8' to each side of the equation. -8 + 8 + 9x = 424 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 424 + 8 9x = 424 + 8 Combine like terms: 424 + 8 = 432 9x = 432 Divide each side by '9'. x = 48 Simplifying x = 48
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