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Simplifying 3x + 45 = 5x + 11 Reorder the terms: 45 + 3x = 5x + 11 Reorder the terms: 45 + 3x = 11 + 5x Solving 45 + 3x = 11 + 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. 45 + 3x + -5x = 11 + 5x + -5x Combine like terms: 3x + -5x = -2x 45 + -2x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + -2x = 11 + 0 45 + -2x = 11 Add '-45' to each side of the equation. 45 + -45 + -2x = 11 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = 11 + -45 -2x = 11 + -45 Combine like terms: 11 + -45 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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