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Simplifying 5(-1x + 2) = 13 + -4(3x + -1) Reorder the terms: 5(2 + -1x) = 13 + -4(3x + -1) (2 * 5 + -1x * 5) = 13 + -4(3x + -1) (10 + -5x) = 13 + -4(3x + -1) Reorder the terms: 10 + -5x = 13 + -4(-1 + 3x) 10 + -5x = 13 + (-1 * -4 + 3x * -4) 10 + -5x = 13 + (4 + -12x) Combine like terms: 13 + 4 = 17 10 + -5x = 17 + -12x Solving 10 + -5x = 17 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 10 + -5x + 12x = 17 + -12x + 12x Combine like terms: -5x + 12x = 7x 10 + 7x = 17 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + 7x = 17 + 0 10 + 7x = 17 Add '-10' to each side of the equation. 10 + -10 + 7x = 17 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 17 + -10 7x = 17 + -10 Combine like terms: 17 + -10 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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