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Simplifying 4 + x + -3x + 2 = 4x + 2 + -3x + -1 Reorder the terms: 4 + 2 + x + -3x = 4x + 2 + -3x + -1 Combine like terms: 4 + 2 = 6 6 + x + -3x = 4x + 2 + -3x + -1 Combine like terms: x + -3x = -2x 6 + -2x = 4x + 2 + -3x + -1 Reorder the terms: 6 + -2x = 2 + -1 + 4x + -3x Combine like terms: 2 + -1 = 1 6 + -2x = 1 + 4x + -3x Combine like terms: 4x + -3x = 1x 6 + -2x = 1 + 1x Solving 6 + -2x = 1 + 1x 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 + -2x + -1x = 1 + 1x + -1x Combine like terms: -2x + -1x = -3x 6 + -3x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + -3x = 1 + 0 6 + -3x = 1 Add '-6' to each side of the equation. 6 + -6 + -3x = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 1 + -6 -3x = 1 + -6 Combine like terms: 1 + -6 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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