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Simplifying 14 + -3x + 5x + -2 = 6 + -8x + -34 Reorder the terms: 14 + -2 + -3x + 5x = 6 + -8x + -34 Combine like terms: 14 + -2 = 12 12 + -3x + 5x = 6 + -8x + -34 Combine like terms: -3x + 5x = 2x 12 + 2x = 6 + -8x + -34 Reorder the terms: 12 + 2x = 6 + -34 + -8x Combine like terms: 6 + -34 = -28 12 + 2x = -28 + -8x Solving 12 + 2x = -28 + -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. 12 + 2x + 8x = -28 + -8x + 8x Combine like terms: 2x + 8x = 10x 12 + 10x = -28 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 10x = -28 + 0 12 + 10x = -28 Add '-12' to each side of the equation. 12 + -12 + 10x = -28 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = -28 + -12 10x = -28 + -12 Combine like terms: -28 + -12 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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