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Simplifying 5(15 + -1x) = 7(9x + 1) (15 * 5 + -1x * 5) = 7(9x + 1) (75 + -5x) = 7(9x + 1) Reorder the terms: 75 + -5x = 7(1 + 9x) 75 + -5x = (1 * 7 + 9x * 7) 75 + -5x = (7 + 63x) Solving 75 + -5x = 7 + 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. 75 + -5x + -63x = 7 + 63x + -63x Combine like terms: -5x + -63x = -68x 75 + -68x = 7 + 63x + -63x Combine like terms: 63x + -63x = 0 75 + -68x = 7 + 0 75 + -68x = 7 Add '-75' to each side of the equation. 75 + -75 + -68x = 7 + -75 Combine like terms: 75 + -75 = 0 0 + -68x = 7 + -75 -68x = 7 + -75 Combine like terms: 7 + -75 = -68 -68x = -68 Divide each side by '-68'. x = 1 Simplifying x = 1
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