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Simplifying 6x + -3x + 4 + -2x = 4x + 9 Reorder the terms: 4 + 6x + -3x + -2x = 4x + 9 Combine like terms: 6x + -3x = 3x 4 + 3x + -2x = 4x + 9 Combine like terms: 3x + -2x = 1x 4 + 1x = 4x + 9 Reorder the terms: 4 + 1x = 9 + 4x Solving 4 + 1x = 9 + 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. 4 + 1x + -4x = 9 + 4x + -4x Combine like terms: 1x + -4x = -3x 4 + -3x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -3x = 9 + 0 4 + -3x = 9 Add '-4' to each side of the equation. 4 + -4 + -3x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 9 + -4 -3x = 9 + -4 Combine like terms: 9 + -4 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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