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Simplifying 21(19 + -1x) = 15(5x + 1) (19 * 21 + -1x * 21) = 15(5x + 1) (399 + -21x) = 15(5x + 1) Reorder the terms: 399 + -21x = 15(1 + 5x) 399 + -21x = (1 * 15 + 5x * 15) 399 + -21x = (15 + 75x) Solving 399 + -21x = 15 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. 399 + -21x + -75x = 15 + 75x + -75x Combine like terms: -21x + -75x = -96x 399 + -96x = 15 + 75x + -75x Combine like terms: 75x + -75x = 0 399 + -96x = 15 + 0 399 + -96x = 15 Add '-399' to each side of the equation. 399 + -399 + -96x = 15 + -399 Combine like terms: 399 + -399 = 0 0 + -96x = 15 + -399 -96x = 15 + -399 Combine like terms: 15 + -399 = -384 -96x = -384 Divide each side by '-96'. x = 4 Simplifying x = 4
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