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Simplifying 3x + 11 + -2x = 4 + 6x + 2 Reorder the terms: 11 + 3x + -2x = 4 + 6x + 2 Combine like terms: 3x + -2x = 1x 11 + 1x = 4 + 6x + 2 Reorder the terms: 11 + 1x = 4 + 2 + 6x Combine like terms: 4 + 2 = 6 11 + 1x = 6 + 6x Solving 11 + 1x = 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. 11 + 1x + -6x = 6 + 6x + -6x Combine like terms: 1x + -6x = -5x 11 + -5x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 11 + -5x = 6 + 0 11 + -5x = 6 Add '-11' to each side of the equation. 11 + -11 + -5x = 6 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = 6 + -11 -5x = 6 + -11 Combine like terms: 6 + -11 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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