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Simplifying 2x + 3x + 8 = 6x + -4x + 6 Reorder the terms: 8 + 2x + 3x = 6x + -4x + 6 Combine like terms: 2x + 3x = 5x 8 + 5x = 6x + -4x + 6 Reorder the terms: 8 + 5x = 6 + 6x + -4x Combine like terms: 6x + -4x = 2x 8 + 5x = 6 + 2x Solving 8 + 5x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 5x + -2x = 6 + 2x + -2x Combine like terms: 5x + -2x = 3x 8 + 3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 3x = 6 + 0 8 + 3x = 6 Add '-8' to each side of the equation. 8 + -8 + 3x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 6 + -8 3x = 6 + -8 Combine like terms: 6 + -8 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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