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Simplifying 5x + 6 + x = 2 + 2x + 12 Reorder the terms: 6 + 5x + x = 2 + 2x + 12 Combine like terms: 5x + x = 6x 6 + 6x = 2 + 2x + 12 Reorder the terms: 6 + 6x = 2 + 12 + 2x Combine like terms: 2 + 12 = 14 6 + 6x = 14 + 2x Solving 6 + 6x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 6x + -2x = 14 + 2x + -2x Combine like terms: 6x + -2x = 4x 6 + 4x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 4x = 14 + 0 6 + 4x = 14 Add '-6' to each side of the equation. 6 + -6 + 4x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 14 + -6 4x = 14 + -6 Combine like terms: 14 + -6 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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