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Simplifying -11(26x + -52) = 44(-9x + 3) Reorder the terms: -11(-52 + 26x) = 44(-9x + 3) (-52 * -11 + 26x * -11) = 44(-9x + 3) (572 + -286x) = 44(-9x + 3) Reorder the terms: 572 + -286x = 44(3 + -9x) 572 + -286x = (3 * 44 + -9x * 44) 572 + -286x = (132 + -396x) Solving 572 + -286x = 132 + -396x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '396x' to each side of the equation. 572 + -286x + 396x = 132 + -396x + 396x Combine like terms: -286x + 396x = 110x 572 + 110x = 132 + -396x + 396x Combine like terms: -396x + 396x = 0 572 + 110x = 132 + 0 572 + 110x = 132 Add '-572' to each side of the equation. 572 + -572 + 110x = 132 + -572 Combine like terms: 572 + -572 = 0 0 + 110x = 132 + -572 110x = 132 + -572 Combine like terms: 132 + -572 = -440 110x = -440 Divide each side by '110'. x = -4 Simplifying x = -4
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