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Simplifying -3(x + 2) + 2(x + 1) = 2x + 11 Reorder the terms: -3(2 + x) + 2(x + 1) = 2x + 11 (2 * -3 + x * -3) + 2(x + 1) = 2x + 11 (-6 + -3x) + 2(x + 1) = 2x + 11 Reorder the terms: -6 + -3x + 2(1 + x) = 2x + 11 -6 + -3x + (1 * 2 + x * 2) = 2x + 11 -6 + -3x + (2 + 2x) = 2x + 11 Reorder the terms: -6 + 2 + -3x + 2x = 2x + 11 Combine like terms: -6 + 2 = -4 -4 + -3x + 2x = 2x + 11 Combine like terms: -3x + 2x = -1x -4 + -1x = 2x + 11 Reorder the terms: -4 + -1x = 11 + 2x Solving -4 + -1x = 11 + 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. -4 + -1x + -2x = 11 + 2x + -2x Combine like terms: -1x + -2x = -3x -4 + -3x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -3x = 11 + 0 -4 + -3x = 11 Add '4' to each side of the equation. -4 + 4 + -3x = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 11 + 4 -3x = 11 + 4 Combine like terms: 11 + 4 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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