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Simplifying 12 + -8 + 6 + 2x = -14 + 3x + 5x Combine like terms: 12 + -8 = 4 4 + 6 + 2x = -14 + 3x + 5x Combine like terms: 4 + 6 = 10 10 + 2x = -14 + 3x + 5x Combine like terms: 3x + 5x = 8x 10 + 2x = -14 + 8x Solving 10 + 2x = -14 + 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. 10 + 2x + -8x = -14 + 8x + -8x Combine like terms: 2x + -8x = -6x 10 + -6x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -6x = -14 + 0 10 + -6x = -14 Add '-10' to each side of the equation. 10 + -10 + -6x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -14 + -10 -6x = -14 + -10 Combine like terms: -14 + -10 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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