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Simplifying 3 + 4x + 2 + -1x = -6 + 6x + 7 + -4 Reorder the terms: 3 + 2 + 4x + -1x = -6 + 6x + 7 + -4 Combine like terms: 3 + 2 = 5 5 + 4x + -1x = -6 + 6x + 7 + -4 Combine like terms: 4x + -1x = 3x 5 + 3x = -6 + 6x + 7 + -4 Reorder the terms: 5 + 3x = -6 + 7 + -4 + 6x Combine like terms: -6 + 7 = 1 5 + 3x = 1 + -4 + 6x Combine like terms: 1 + -4 = -3 5 + 3x = -3 + 6x Solving 5 + 3x = -3 + 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. 5 + 3x + -6x = -3 + 6x + -6x Combine like terms: 3x + -6x = -3x 5 + -3x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -3x = -3 + 0 5 + -3x = -3 Add '-5' to each side of the equation. 5 + -5 + -3x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -3 + -5 -3x = -3 + -5 Combine like terms: -3 + -5 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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