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Simplifying x * 6 + 11 = 4x + 45 Reorder the terms for easier multiplication: 6x + 11 = 4x + 45 Reorder the terms: 11 + 6x = 4x + 45 Reorder the terms: 11 + 6x = 45 + 4x Solving 11 + 6x = 45 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 11 + 6x + -4x = 45 + 4x + -4x Combine like terms: 6x + -4x = 2x 11 + 2x = 45 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + 2x = 45 + 0 11 + 2x = 45 Add '-11' to each side of the equation. 11 + -11 + 2x = 45 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 45 + -11 2x = 45 + -11 Combine like terms: 45 + -11 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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