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Simplifying 5x + 6 + -3x = 10 + -8x + -14 Reorder the terms: 6 + 5x + -3x = 10 + -8x + -14 Combine like terms: 5x + -3x = 2x 6 + 2x = 10 + -8x + -14 Reorder the terms: 6 + 2x = 10 + -14 + -8x Combine like terms: 10 + -14 = -4 6 + 2x = -4 + -8x Solving 6 + 2x = -4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 6 + 2x + 8x = -4 + -8x + 8x Combine like terms: 2x + 8x = 10x 6 + 10x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 10x = -4 + 0 6 + 10x = -4 Add '-6' to each side of the equation. 6 + -6 + 10x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = -4 + -6 10x = -4 + -6 Combine like terms: -4 + -6 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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