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Simplifying 6 + -2x + 2 + 5x = 12 + x + 4 Reorder the terms: 6 + 2 + -2x + 5x = 12 + x + 4 Combine like terms: 6 + 2 = 8 8 + -2x + 5x = 12 + x + 4 Combine like terms: -2x + 5x = 3x 8 + 3x = 12 + x + 4 Reorder the terms: 8 + 3x = 12 + 4 + x Combine like terms: 12 + 4 = 16 8 + 3x = 16 + x Solving 8 + 3x = 16 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 3x + -1x = 16 + x + -1x Combine like terms: 3x + -1x = 2x 8 + 2x = 16 + x + -1x Combine like terms: x + -1x = 0 8 + 2x = 16 + 0 8 + 2x = 16 Add '-8' to each side of the equation. 8 + -8 + 2x = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 16 + -8 2x = 16 + -8 Combine like terms: 16 + -8 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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