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Simplifying 6x + 8 + -5x + 6 = 7x + -9 + 8x + 6 Reorder the terms: 8 + 6 + 6x + -5x = 7x + -9 + 8x + 6 Combine like terms: 8 + 6 = 14 14 + 6x + -5x = 7x + -9 + 8x + 6 Combine like terms: 6x + -5x = 1x 14 + 1x = 7x + -9 + 8x + 6 Reorder the terms: 14 + 1x = -9 + 6 + 7x + 8x Combine like terms: -9 + 6 = -3 14 + 1x = -3 + 7x + 8x Combine like terms: 7x + 8x = 15x 14 + 1x = -3 + 15x Solving 14 + 1x = -3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 14 + 1x + -15x = -3 + 15x + -15x Combine like terms: 1x + -15x = -14x 14 + -14x = -3 + 15x + -15x Combine like terms: 15x + -15x = 0 14 + -14x = -3 + 0 14 + -14x = -3 Add '-14' to each side of the equation. 14 + -14 + -14x = -3 + -14 Combine like terms: 14 + -14 = 0 0 + -14x = -3 + -14 -14x = -3 + -14 Combine like terms: -3 + -14 = -17 -14x = -17 Divide each side by '-14'. x = 1.214285714 Simplifying x = 1.214285714
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