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Simplifying -2(2x + -1) + -11 = -2(3x + -20) + -17 Reorder the terms: -2(-1 + 2x) + -11 = -2(3x + -20) + -17 (-1 * -2 + 2x * -2) + -11 = -2(3x + -20) + -17 (2 + -4x) + -11 = -2(3x + -20) + -17 Reorder the terms: 2 + -11 + -4x = -2(3x + -20) + -17 Combine like terms: 2 + -11 = -9 -9 + -4x = -2(3x + -20) + -17 Reorder the terms: -9 + -4x = -2(-20 + 3x) + -17 -9 + -4x = (-20 * -2 + 3x * -2) + -17 -9 + -4x = (40 + -6x) + -17 Reorder the terms: -9 + -4x = 40 + -17 + -6x Combine like terms: 40 + -17 = 23 -9 + -4x = 23 + -6x Solving -9 + -4x = 23 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -9 + -4x + 6x = 23 + -6x + 6x Combine like terms: -4x + 6x = 2x -9 + 2x = 23 + -6x + 6x Combine like terms: -6x + 6x = 0 -9 + 2x = 23 + 0 -9 + 2x = 23 Add '9' to each side of the equation. -9 + 9 + 2x = 23 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 23 + 9 2x = 23 + 9 Combine like terms: 23 + 9 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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