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Simplifying 11x + -1(3x + -5) = 19 + (5x + -2) Reorder the terms: 11x + -1(-5 + 3x) = 19 + (5x + -2) 11x + (-5 * -1 + 3x * -1) = 19 + (5x + -2) 11x + (5 + -3x) = 19 + (5x + -2) Reorder the terms: 5 + 11x + -3x = 19 + (5x + -2) Combine like terms: 11x + -3x = 8x 5 + 8x = 19 + (5x + -2) Reorder the terms: 5 + 8x = 19 + (-2 + 5x) Remove parenthesis around (-2 + 5x) 5 + 8x = 19 + -2 + 5x Combine like terms: 19 + -2 = 17 5 + 8x = 17 + 5x Solving 5 + 8x = 17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 8x + -5x = 17 + 5x + -5x Combine like terms: 8x + -5x = 3x 5 + 3x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 3x = 17 + 0 5 + 3x = 17 Add '-5' to each side of the equation. 5 + -5 + 3x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 17 + -5 3x = 17 + -5 Combine like terms: 17 + -5 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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