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Simplifying 2x + (-1x) + 3x + 6 = x + 12 Reorder the terms: 6 + 2x + (-1x) + 3x = x + 12 Combine like terms: 2x + (-1x) = 1x 6 + 1x + 3x = x + 12 Combine like terms: 1x + 3x = 4x 6 + 4x = x + 12 Reorder the terms: 6 + 4x = 12 + x Solving 6 + 4x = 12 + 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. 6 + 4x + -1x = 12 + x + -1x Combine like terms: 4x + -1x = 3x 6 + 3x = 12 + x + -1x Combine like terms: x + -1x = 0 6 + 3x = 12 + 0 6 + 3x = 12 Add '-6' to each side of the equation. 6 + -6 + 3x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 12 + -6 3x = 12 + -6 Combine like terms: 12 + -6 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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