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Simplifying 6x + 11 = 7x + 8 + -5 Reorder the terms: 11 + 6x = 7x + 8 + -5 Reorder the terms: 11 + 6x = 8 + -5 + 7x Combine like terms: 8 + -5 = 3 11 + 6x = 3 + 7x Solving 11 + 6x = 3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 11 + 6x + -7x = 3 + 7x + -7x Combine like terms: 6x + -7x = -1x 11 + -1x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 11 + -1x = 3 + 0 11 + -1x = 3 Add '-11' to each side of the equation. 11 + -11 + -1x = 3 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 3 + -11 -1x = 3 + -11 Combine like terms: 3 + -11 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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