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Simplifying 2x + -11 = 2(2x + 9) + -5 Reorder the terms: -11 + 2x = 2(2x + 9) + -5 Reorder the terms: -11 + 2x = 2(9 + 2x) + -5 -11 + 2x = (9 * 2 + 2x * 2) + -5 -11 + 2x = (18 + 4x) + -5 Reorder the terms: -11 + 2x = 18 + -5 + 4x Combine like terms: 18 + -5 = 13 -11 + 2x = 13 + 4x Solving -11 + 2x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -11 + 2x + -4x = 13 + 4x + -4x Combine like terms: 2x + -4x = -2x -11 + -2x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + -2x = 13 + 0 -11 + -2x = 13 Add '11' to each side of the equation. -11 + 11 + -2x = 13 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 13 + 11 -2x = 13 + 11 Combine like terms: 13 + 11 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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