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Simplifying 2(x + -2) = 5(x + 5) + -11 Reorder the terms: 2(-2 + x) = 5(x + 5) + -11 (-2 * 2 + x * 2) = 5(x + 5) + -11 (-4 + 2x) = 5(x + 5) + -11 Reorder the terms: -4 + 2x = 5(5 + x) + -11 -4 + 2x = (5 * 5 + x * 5) + -11 -4 + 2x = (25 + 5x) + -11 Reorder the terms: -4 + 2x = 25 + -11 + 5x Combine like terms: 25 + -11 = 14 -4 + 2x = 14 + 5x Solving -4 + 2x = 14 + 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. -4 + 2x + -5x = 14 + 5x + -5x Combine like terms: 2x + -5x = -3x -4 + -3x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -3x = 14 + 0 -4 + -3x = 14 Add '4' to each side of the equation. -4 + 4 + -3x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 14 + 4 -3x = 14 + 4 Combine like terms: 14 + 4 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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