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Simplifying 5x + 2x + 6 = 8x + -11 Reorder the terms: 6 + 5x + 2x = 8x + -11 Combine like terms: 5x + 2x = 7x 6 + 7x = 8x + -11 Reorder the terms: 6 + 7x = -11 + 8x Solving 6 + 7x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + 7x + -8x = -11 + 8x + -8x Combine like terms: 7x + -8x = -1x 6 + -1x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -1x = -11 + 0 6 + -1x = -11 Add '-6' to each side of the equation. 6 + -6 + -1x = -11 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -11 + -6 -1x = -11 + -6 Combine like terms: -11 + -6 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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