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Simplifying 3x + 4 + -4x = 8 + -3x + 2 Reorder the terms: 4 + 3x + -4x = 8 + -3x + 2 Combine like terms: 3x + -4x = -1x 4 + -1x = 8 + -3x + 2 Reorder the terms: 4 + -1x = 8 + 2 + -3x Combine like terms: 8 + 2 = 10 4 + -1x = 10 + -3x Solving 4 + -1x = 10 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + -1x + 3x = 10 + -3x + 3x Combine like terms: -1x + 3x = 2x 4 + 2x = 10 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 2x = 10 + 0 4 + 2x = 10 Add '-4' to each side of the equation. 4 + -4 + 2x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 10 + -4 2x = 10 + -4 Combine like terms: 10 + -4 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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