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Simplifying 5x + 1 = 8x + -5 + 6x Reorder the terms: 1 + 5x = 8x + -5 + 6x Reorder the terms: 1 + 5x = -5 + 8x + 6x Combine like terms: 8x + 6x = 14x 1 + 5x = -5 + 14x Solving 1 + 5x = -5 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 1 + 5x + -14x = -5 + 14x + -14x Combine like terms: 5x + -14x = -9x 1 + -9x = -5 + 14x + -14x Combine like terms: 14x + -14x = 0 1 + -9x = -5 + 0 1 + -9x = -5 Add '-1' to each side of the equation. 1 + -1 + -9x = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = -5 + -1 -9x = -5 + -1 Combine like terms: -5 + -1 = -6 -9x = -6 Divide each side by '-9'. x = 0.6666666667 Simplifying x = 0.6666666667
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