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Simplifying 2x + 11 + -3 = 2(x + 1) + 3x Reorder the terms: 11 + -3 + 2x = 2(x + 1) + 3x Combine like terms: 11 + -3 = 8 8 + 2x = 2(x + 1) + 3x Reorder the terms: 8 + 2x = 2(1 + x) + 3x 8 + 2x = (1 * 2 + x * 2) + 3x 8 + 2x = (2 + 2x) + 3x Combine like terms: 2x + 3x = 5x 8 + 2x = 2 + 5x Solving 8 + 2x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 2x + -5x = 2 + 5x + -5x Combine like terms: 2x + -5x = -3x 8 + -3x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -3x = 2 + 0 8 + -3x = 2 Add '-8' to each side of the equation. 8 + -8 + -3x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 2 + -8 -3x = 2 + -8 Combine like terms: 2 + -8 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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