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Simplifying -3x + 6 + 4x = 2x + 1 + -9 + 2x Reorder the terms: 6 + -3x + 4x = 2x + 1 + -9 + 2x Combine like terms: -3x + 4x = 1x 6 + 1x = 2x + 1 + -9 + 2x Reorder the terms: 6 + 1x = 1 + -9 + 2x + 2x Combine like terms: 1 + -9 = -8 6 + 1x = -8 + 2x + 2x Combine like terms: 2x + 2x = 4x 6 + 1x = -8 + 4x Solving 6 + 1x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 1x + -4x = -8 + 4x + -4x Combine like terms: 1x + -4x = -3x 6 + -3x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -3x = -8 + 0 6 + -3x = -8 Add '-6' to each side of the equation. 6 + -6 + -3x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -8 + -6 -3x = -8 + -6 Combine like terms: -8 + -6 = -14 -3x = -14 Divide each side by '-3'. x = 4.666666667 Simplifying x = 4.666666667
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