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