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Simplifying 6 + -2x + 8 = 5x + 2x + -1 Reorder the terms: 6 + 8 + -2x = 5x + 2x + -1 Combine like terms: 6 + 8 = 14 14 + -2x = 5x + 2x + -1 Reorder the terms: 14 + -2x = -1 + 5x + 2x Combine like terms: 5x + 2x = 7x 14 + -2x = -1 + 7x Solving 14 + -2x = -1 + 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. 14 + -2x + -7x = -1 + 7x + -7x Combine like terms: -2x + -7x = -9x 14 + -9x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -9x = -1 + 0 14 + -9x = -1 Add '-14' to each side of the equation. 14 + -14 + -9x = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -9x = -1 + -14 -9x = -1 + -14 Combine like terms: -1 + -14 = -15 -9x = -15 Divide each side by '-9'. x = 1.666666667 Simplifying x = 1.666666667
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