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Simplifying -6(-34x + -20) = 31(38 + 3x) Reorder the terms: -6(-20 + -34x) = 31(38 + 3x) (-20 * -6 + -34x * -6) = 31(38 + 3x) (120 + 204x) = 31(38 + 3x) 120 + 204x = (38 * 31 + 3x * 31) 120 + 204x = (1178 + 93x) Solving 120 + 204x = 1178 + 93x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-93x' to each side of the equation. 120 + 204x + -93x = 1178 + 93x + -93x Combine like terms: 204x + -93x = 111x 120 + 111x = 1178 + 93x + -93x Combine like terms: 93x + -93x = 0 120 + 111x = 1178 + 0 120 + 111x = 1178 Add '-120' to each side of the equation. 120 + -120 + 111x = 1178 + -120 Combine like terms: 120 + -120 = 0 0 + 111x = 1178 + -120 111x = 1178 + -120 Combine like terms: 1178 + -120 = 1058 111x = 1058 Divide each side by '111'. x = 9.531531532 Simplifying x = 9.531531532
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