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Simplifying 2x + 8x + -14 = 7x + -6x + 28 Reorder the terms: -14 + 2x + 8x = 7x + -6x + 28 Combine like terms: 2x + 8x = 10x -14 + 10x = 7x + -6x + 28 Reorder the terms: -14 + 10x = 28 + 7x + -6x Combine like terms: 7x + -6x = 1x -14 + 10x = 28 + 1x Solving -14 + 10x = 28 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -14 + 10x + -1x = 28 + 1x + -1x Combine like terms: 10x + -1x = 9x -14 + 9x = 28 + 1x + -1x Combine like terms: 1x + -1x = 0 -14 + 9x = 28 + 0 -14 + 9x = 28 Add '14' to each side of the equation. -14 + 14 + 9x = 28 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 28 + 14 9x = 28 + 14 Combine like terms: 28 + 14 = 42 9x = 42 Divide each side by '9'. x = 4.666666667 Simplifying x = 4.666666667
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