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Simplifying 3x + 2 + 5x + 2 = 11x + 13 Reorder the terms: 2 + 2 + 3x + 5x = 11x + 13 Combine like terms: 2 + 2 = 4 4 + 3x + 5x = 11x + 13 Combine like terms: 3x + 5x = 8x 4 + 8x = 11x + 13 Reorder the terms: 4 + 8x = 13 + 11x Solving 4 + 8x = 13 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 4 + 8x + -11x = 13 + 11x + -11x Combine like terms: 8x + -11x = -3x 4 + -3x = 13 + 11x + -11x Combine like terms: 11x + -11x = 0 4 + -3x = 13 + 0 4 + -3x = 13 Add '-4' to each side of the equation. 4 + -4 + -3x = 13 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 13 + -4 -3x = 13 + -4 Combine like terms: 13 + -4 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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