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Simplifying 5x + 45 + -13 = 11(5x + 6) Reorder the terms: 45 + -13 + 5x = 11(5x + 6) Combine like terms: 45 + -13 = 32 32 + 5x = 11(5x + 6) Reorder the terms: 32 + 5x = 11(6 + 5x) 32 + 5x = (6 * 11 + 5x * 11) 32 + 5x = (66 + 55x) Solving 32 + 5x = 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. 32 + 5x + -55x = 66 + 55x + -55x Combine like terms: 5x + -55x = -50x 32 + -50x = 66 + 55x + -55x Combine like terms: 55x + -55x = 0 32 + -50x = 66 + 0 32 + -50x = 66 Add '-32' to each side of the equation. 32 + -32 + -50x = 66 + -32 Combine like terms: 32 + -32 = 0 0 + -50x = 66 + -32 -50x = 66 + -32 Combine like terms: 66 + -32 = 34 -50x = 34 Divide each side by '-50'. x = -0.68 Simplifying x = -0.68
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