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Simplifying 3x + 8 = -4x + 6 Reorder the terms: 8 + 3x = -4x + 6 Reorder the terms: 8 + 3x = 6 + -4x Solving 8 + 3x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 3x + 4x = 6 + -4x + 4x Combine like terms: 3x + 4x = 7x 8 + 7x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 7x = 6 + 0 8 + 7x = 6 Add '-8' to each side of the equation. 8 + -8 + 7x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 6 + -8 7x = 6 + -8 Combine like terms: 6 + -8 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857
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