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Simplifying 21(19 + -1x) = 15(x + 1) (19 * 21 + -1x * 21) = 15(x + 1) (399 + -21x) = 15(x + 1) Reorder the terms: 399 + -21x = 15(1 + x) 399 + -21x = (1 * 15 + x * 15) 399 + -21x = (15 + 15x) Solving 399 + -21x = 15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 399 + -21x + -15x = 15 + 15x + -15x Combine like terms: -21x + -15x = -36x 399 + -36x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 399 + -36x = 15 + 0 399 + -36x = 15 Add '-399' to each side of the equation. 399 + -399 + -36x = 15 + -399 Combine like terms: 399 + -399 = 0 0 + -36x = 15 + -399 -36x = 15 + -399 Combine like terms: 15 + -399 = -384 -36x = -384 Divide each side by '-36'. x = 10.66666667 Simplifying x = 10.66666667
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