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Simplifying 4x + -2 + 6 = x + 12 Reorder the terms: -2 + 6 + 4x = x + 12 Combine like terms: -2 + 6 = 4 4 + 4x = x + 12 Reorder the terms: 4 + 4x = 12 + x Solving 4 + 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. 4 + 4x + -1x = 12 + x + -1x Combine like terms: 4x + -1x = 3x 4 + 3x = 12 + x + -1x Combine like terms: x + -1x = 0 4 + 3x = 12 + 0 4 + 3x = 12 Add '-4' to each side of the equation. 4 + -4 + 3x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 12 + -4 3x = 12 + -4 Combine like terms: 12 + -4 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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