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Simplifying 9(-32x + -14) = 26(12 + -6x) Reorder the terms: 9(-14 + -32x) = 26(12 + -6x) (-14 * 9 + -32x * 9) = 26(12 + -6x) (-126 + -288x) = 26(12 + -6x) -126 + -288x = (12 * 26 + -6x * 26) -126 + -288x = (312 + -156x) Solving -126 + -288x = 312 + -156x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '156x' to each side of the equation. -126 + -288x + 156x = 312 + -156x + 156x Combine like terms: -288x + 156x = -132x -126 + -132x = 312 + -156x + 156x Combine like terms: -156x + 156x = 0 -126 + -132x = 312 + 0 -126 + -132x = 312 Add '126' to each side of the equation. -126 + 126 + -132x = 312 + 126 Combine like terms: -126 + 126 = 0 0 + -132x = 312 + 126 -132x = 312 + 126 Combine like terms: 312 + 126 = 438 -132x = 438 Divide each side by '-132'. x = -3.318181818 Simplifying x = -3.318181818
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