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Simplifying 4x + -6 + 3x + 2 = x + 12 Reorder the terms: -6 + 2 + 4x + 3x = x + 12 Combine like terms: -6 + 2 = -4 -4 + 4x + 3x = x + 12 Combine like terms: 4x + 3x = 7x -4 + 7x = x + 12 Reorder the terms: -4 + 7x = 12 + x Solving -4 + 7x = 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 + 7x + -1x = 12 + x + -1x Combine like terms: 7x + -1x = 6x -4 + 6x = 12 + x + -1x Combine like terms: x + -1x = 0 -4 + 6x = 12 + 0 -4 + 6x = 12 Add '4' to each side of the equation. -4 + 4 + 6x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 12 + 4 6x = 12 + 4 Combine like terms: 12 + 4 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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