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Simplifying 5(x + 9) + -11 = 7x + 4(3 + -1x) Reorder the terms: 5(9 + x) + -11 = 7x + 4(3 + -1x) (9 * 5 + x * 5) + -11 = 7x + 4(3 + -1x) (45 + 5x) + -11 = 7x + 4(3 + -1x) Reorder the terms: 45 + -11 + 5x = 7x + 4(3 + -1x) Combine like terms: 45 + -11 = 34 34 + 5x = 7x + 4(3 + -1x) 34 + 5x = 7x + (3 * 4 + -1x * 4) 34 + 5x = 7x + (12 + -4x) Reorder the terms: 34 + 5x = 12 + 7x + -4x Combine like terms: 7x + -4x = 3x 34 + 5x = 12 + 3x Solving 34 + 5x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 34 + 5x + -3x = 12 + 3x + -3x Combine like terms: 5x + -3x = 2x 34 + 2x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 34 + 2x = 12 + 0 34 + 2x = 12 Add '-34' to each side of the equation. 34 + -34 + 2x = 12 + -34 Combine like terms: 34 + -34 = 0 0 + 2x = 12 + -34 2x = 12 + -34 Combine like terms: 12 + -34 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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