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Simplifying 6x + 51 = 10x + 11 Reorder the terms: 51 + 6x = 10x + 11 Reorder the terms: 51 + 6x = 11 + 10x Solving 51 + 6x = 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 + 6x + -10x = 11 + 10x + -10x Combine like terms: 6x + -10x = -4x 51 + -4x = 11 + 10x + -10x Combine like terms: 10x + -10x = 0 51 + -4x = 11 + 0 51 + -4x = 11 Add '-51' to each side of the equation. 51 + -51 + -4x = 11 + -51 Combine like terms: 51 + -51 = 0 0 + -4x = 11 + -51 -4x = 11 + -51 Combine like terms: 11 + -51 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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