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Simplifying -9(6x + 41) + 1546 = -1067 + -12(11x + -44) Reorder the terms: -9(41 + 6x) + 1546 = -1067 + -12(11x + -44) (41 * -9 + 6x * -9) + 1546 = -1067 + -12(11x + -44) (-369 + -54x) + 1546 = -1067 + -12(11x + -44) Reorder the terms: -369 + 1546 + -54x = -1067 + -12(11x + -44) Combine like terms: -369 + 1546 = 1177 1177 + -54x = -1067 + -12(11x + -44) Reorder the terms: 1177 + -54x = -1067 + -12(-44 + 11x) 1177 + -54x = -1067 + (-44 * -12 + 11x * -12) 1177 + -54x = -1067 + (528 + -132x) Combine like terms: -1067 + 528 = -539 1177 + -54x = -539 + -132x Solving 1177 + -54x = -539 + -132x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '132x' to each side of the equation. 1177 + -54x + 132x = -539 + -132x + 132x Combine like terms: -54x + 132x = 78x 1177 + 78x = -539 + -132x + 132x Combine like terms: -132x + 132x = 0 1177 + 78x = -539 + 0 1177 + 78x = -539 Add '-1177' to each side of the equation. 1177 + -1177 + 78x = -539 + -1177 Combine like terms: 1177 + -1177 = 0 0 + 78x = -539 + -1177 78x = -539 + -1177 Combine like terms: -539 + -1177 = -1716 78x = -1716 Divide each side by '78'. x = -22 Simplifying x = -22
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