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Simplifying -2(2x + -11) = -2(3x + -20) + -17 Reorder the terms: -2(-11 + 2x) = -2(3x + -20) + -17 (-11 * -2 + 2x * -2) = -2(3x + -20) + -17 (22 + -4x) = -2(3x + -20) + -17 Reorder the terms: 22 + -4x = -2(-20 + 3x) + -17 22 + -4x = (-20 * -2 + 3x * -2) + -17 22 + -4x = (40 + -6x) + -17 Reorder the terms: 22 + -4x = 40 + -17 + -6x Combine like terms: 40 + -17 = 23 22 + -4x = 23 + -6x Solving 22 + -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. 22 + -4x + 6x = 23 + -6x + 6x Combine like terms: -4x + 6x = 2x 22 + 2x = 23 + -6x + 6x Combine like terms: -6x + 6x = 0 22 + 2x = 23 + 0 22 + 2x = 23 Add '-22' to each side of the equation. 22 + -22 + 2x = 23 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 23 + -22 2x = 23 + -22 Combine like terms: 23 + -22 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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