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Simplifying 3x + 2 = 10 + -4x + 4 Reorder the terms: 2 + 3x = 10 + -4x + 4 Reorder the terms: 2 + 3x = 10 + 4 + -4x Combine like terms: 10 + 4 = 14 2 + 3x = 14 + -4x Solving 2 + 3x = 14 + -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. 2 + 3x + 4x = 14 + -4x + 4x Combine like terms: 3x + 4x = 7x 2 + 7x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 7x = 14 + 0 2 + 7x = 14 Add '-2' to each side of the equation. 2 + -2 + 7x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 14 + -2 7x = 14 + -2 Combine like terms: 14 + -2 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714
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