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Simplifying -1(5x + -11) + 4(3x + 8) = 0 Reorder the terms: -1(-11 + 5x) + 4(3x + 8) = 0 (-11 * -1 + 5x * -1) + 4(3x + 8) = 0 (11 + -5x) + 4(3x + 8) = 0 Reorder the terms: 11 + -5x + 4(8 + 3x) = 0 11 + -5x + (8 * 4 + 3x * 4) = 0 11 + -5x + (32 + 12x) = 0 Reorder the terms: 11 + 32 + -5x + 12x = 0 Combine like terms: 11 + 32 = 43 43 + -5x + 12x = 0 Combine like terms: -5x + 12x = 7x 43 + 7x = 0 Solving 43 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 7x = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 7x = 0 + -43 7x = 0 + -43 Combine like terms: 0 + -43 = -43 7x = -43 Divide each side by '7'. x = -6.142857143 Simplifying x = -6.142857143
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