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Simplifying 5(-1x + 2) = -3(7x + 2) + 8r Reorder the terms: 5(2 + -1x) = -3(7x + 2) + 8r (2 * 5 + -1x * 5) = -3(7x + 2) + 8r (10 + -5x) = -3(7x + 2) + 8r Reorder the terms: 10 + -5x = -3(2 + 7x) + 8r 10 + -5x = (2 * -3 + 7x * -3) + 8r 10 + -5x = (-6 + -21x) + 8r Reorder the terms: 10 + -5x = -6 + 8r + -21x Solving 10 + -5x = -6 + 8r + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 10 + -5x + 21x = -6 + 8r + -21x + 21x Combine like terms: -5x + 21x = 16x 10 + 16x = -6 + 8r + -21x + 21x Combine like terms: -21x + 21x = 0 10 + 16x = -6 + 8r + 0 10 + 16x = -6 + 8r Add '-10' to each side of the equation. 10 + -10 + 16x = -6 + -10 + 8r Combine like terms: 10 + -10 = 0 0 + 16x = -6 + -10 + 8r 16x = -6 + -10 + 8r Combine like terms: -6 + -10 = -16 16x = -16 + 8r Divide each side by '16'. x = -1 + 0.5r Simplifying x = -1 + 0.5r
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