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Simplifying 4x + 11 = -5x + 30 + 8 Reorder the terms: 11 + 4x = -5x + 30 + 8 Reorder the terms: 11 + 4x = 30 + 8 + -5x Combine like terms: 30 + 8 = 38 11 + 4x = 38 + -5x Solving 11 + 4x = 38 + -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. 11 + 4x + 5x = 38 + -5x + 5x Combine like terms: 4x + 5x = 9x 11 + 9x = 38 + -5x + 5x Combine like terms: -5x + 5x = 0 11 + 9x = 38 + 0 11 + 9x = 38 Add '-11' to each side of the equation. 11 + -11 + 9x = 38 + -11 Combine like terms: 11 + -11 = 0 0 + 9x = 38 + -11 9x = 38 + -11 Combine like terms: 38 + -11 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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