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Simplifying 3x + 1 = 4x + 2x + 6 Reorder the terms: 1 + 3x = 4x + 2x + 6 Reorder the terms: 1 + 3x = 6 + 4x + 2x Combine like terms: 4x + 2x = 6x 1 + 3x = 6 + 6x Solving 1 + 3x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 3x + -6x = 6 + 6x + -6x Combine like terms: 3x + -6x = -3x 1 + -3x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -3x = 6 + 0 1 + -3x = 6 Add '-1' to each side of the equation. 1 + -1 + -3x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 6 + -1 -3x = 6 + -1 Combine like terms: 6 + -1 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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