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Simplifying 5x + 2 + -2x + 1 = 11x + 6 + -9x + 3 Reorder the terms: 2 + 1 + 5x + -2x = 11x + 6 + -9x + 3 Combine like terms: 2 + 1 = 3 3 + 5x + -2x = 11x + 6 + -9x + 3 Combine like terms: 5x + -2x = 3x 3 + 3x = 11x + 6 + -9x + 3 Reorder the terms: 3 + 3x = 6 + 3 + 11x + -9x Combine like terms: 6 + 3 = 9 3 + 3x = 9 + 11x + -9x Combine like terms: 11x + -9x = 2x 3 + 3x = 9 + 2x Solving 3 + 3x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 3x + -2x = 9 + 2x + -2x Combine like terms: 3x + -2x = 1x 3 + 1x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 1x = 9 + 0 3 + 1x = 9 Add '-3' to each side of the equation. 3 + -3 + 1x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 9 + -3 1x = 9 + -3 Combine like terms: 9 + -3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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