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Simplifying 5x + 51 = 10x + 11 Reorder the terms: 51 + 5x = 10x + 11 Reorder the terms: 51 + 5x = 11 + 10x Solving 51 + 5x = 11 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 51 + 5x + -10x = 11 + 10x + -10x Combine like terms: 5x + -10x = -5x 51 + -5x = 11 + 10x + -10x Combine like terms: 10x + -10x = 0 51 + -5x = 11 + 0 51 + -5x = 11 Add '-51' to each side of the equation. 51 + -51 + -5x = 11 + -51 Combine like terms: 51 + -51 = 0 0 + -5x = 11 + -51 -5x = 11 + -51 Combine like terms: 11 + -51 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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