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Simplifying 3x + 12 + -2 = -4x + 6 Reorder the terms: 12 + -2 + 3x = -4x + 6 Combine like terms: 12 + -2 = 10 10 + 3x = -4x + 6 Reorder the terms: 10 + 3x = 6 + -4x Solving 10 + 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. 10 + 3x + 4x = 6 + -4x + 4x Combine like terms: 3x + 4x = 7x 10 + 7x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 7x = 6 + 0 10 + 7x = 6 Add '-10' to each side of the equation. 10 + -10 + 7x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 6 + -10 7x = 6 + -10 Combine like terms: 6 + -10 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714
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