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Simplifying 5x + 11 = 8x + -78 Reorder the terms: 11 + 5x = 8x + -78 Reorder the terms: 11 + 5x = -78 + 8x Solving 11 + 5x = -78 + 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. 11 + 5x + -8x = -78 + 8x + -8x Combine like terms: 5x + -8x = -3x 11 + -3x = -78 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + -3x = -78 + 0 11 + -3x = -78 Add '-11' to each side of the equation. 11 + -11 + -3x = -78 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = -78 + -11 -3x = -78 + -11 Combine like terms: -78 + -11 = -89 -3x = -89 Divide each side by '-3'. x = 29.66666667 Simplifying x = 29.66666667
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