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Simplifying 5x + 45x + -13 = 11(5x + 6) Reorder the terms: -13 + 5x + 45x = 11(5x + 6) Combine like terms: 5x + 45x = 50x -13 + 50x = 11(5x + 6) Reorder the terms: -13 + 50x = 11(6 + 5x) -13 + 50x = (6 * 11 + 5x * 11) -13 + 50x = (66 + 55x) Solving -13 + 50x = 66 + 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. -13 + 50x + -55x = 66 + 55x + -55x Combine like terms: 50x + -55x = -5x -13 + -5x = 66 + 55x + -55x Combine like terms: 55x + -55x = 0 -13 + -5x = 66 + 0 -13 + -5x = 66 Add '13' to each side of the equation. -13 + 13 + -5x = 66 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 66 + 13 -5x = 66 + 13 Combine like terms: 66 + 13 = 79 -5x = 79 Divide each side by '-5'. x = -15.8 Simplifying x = -15.8
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