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Simplifying -9(24x + -29) = -49(37 + 9x) Reorder the terms: -9(-29 + 24x) = -49(37 + 9x) (-29 * -9 + 24x * -9) = -49(37 + 9x) (261 + -216x) = -49(37 + 9x) 261 + -216x = (37 * -49 + 9x * -49) 261 + -216x = (-1813 + -441x) Solving 261 + -216x = -1813 + -441x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '441x' to each side of the equation. 261 + -216x + 441x = -1813 + -441x + 441x Combine like terms: -216x + 441x = 225x 261 + 225x = -1813 + -441x + 441x Combine like terms: -441x + 441x = 0 261 + 225x = -1813 + 0 261 + 225x = -1813 Add '-261' to each side of the equation. 261 + -261 + 225x = -1813 + -261 Combine like terms: 261 + -261 = 0 0 + 225x = -1813 + -261 225x = -1813 + -261 Combine like terms: -1813 + -261 = -2074 225x = -2074 Divide each side by '225'. x = -9.217777778 Simplifying x = -9.217777778
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