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Simplifying 15x + 14 + -7x + -28 = 8x + 6 + -2x Reorder the terms: 14 + -28 + 15x + -7x = 8x + 6 + -2x Combine like terms: 14 + -28 = -14 -14 + 15x + -7x = 8x + 6 + -2x Combine like terms: 15x + -7x = 8x -14 + 8x = 8x + 6 + -2x Reorder the terms: -14 + 8x = 6 + 8x + -2x Combine like terms: 8x + -2x = 6x -14 + 8x = 6 + 6x Solving -14 + 8x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + 8x + -6x = 6 + 6x + -6x Combine like terms: 8x + -6x = 2x -14 + 2x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + 2x = 6 + 0 -14 + 2x = 6 Add '14' to each side of the equation. -14 + 14 + 2x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 6 + 14 2x = 6 + 14 Combine like terms: 6 + 14 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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