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Simplifying 7(5x + 9) = 5x + 1 Reorder the terms: 7(9 + 5x) = 5x + 1 (9 * 7 + 5x * 7) = 5x + 1 (63 + 35x) = 5x + 1 Reorder the terms: 63 + 35x = 1 + 5x Solving 63 + 35x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 63 + 35x + -5x = 1 + 5x + -5x Combine like terms: 35x + -5x = 30x 63 + 30x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 63 + 30x = 1 + 0 63 + 30x = 1 Add '-63' to each side of the equation. 63 + -63 + 30x = 1 + -63 Combine like terms: 63 + -63 = 0 0 + 30x = 1 + -63 30x = 1 + -63 Combine like terms: 1 + -63 = -62 30x = -62 Divide each side by '30'. x = -2.066666667 Simplifying x = -2.066666667
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