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Simplifying 36(37 + -4.5x) = 14(4x + -9) + 41.0 (37 * 36 + -4.5x * 36) = 14(4x + -9) + 41.0 (1332 + -162x) = 14(4x + -9) + 41.0 Reorder the terms: 1332 + -162x = 14(-9 + 4x) + 41.0 1332 + -162x = (-9 * 14 + 4x * 14) + 41.0 1332 + -162x = (-126 + 56x) + 41.0 Reorder the terms: 1332 + -162x = -126 + 41.0 + 56x Combine like terms: -126 + 41.0 = -85 1332 + -162x = -85 + 56x Solving 1332 + -162x = -85 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. 1332 + -162x + -56x = -85 + 56x + -56x Combine like terms: -162x + -56x = -218x 1332 + -218x = -85 + 56x + -56x Combine like terms: 56x + -56x = 0 1332 + -218x = -85 + 0 1332 + -218x = -85 Add '-1332' to each side of the equation. 1332 + -1332 + -218x = -85 + -1332 Combine like terms: 1332 + -1332 = 0 0 + -218x = -85 + -1332 -218x = -85 + -1332 Combine like terms: -85 + -1332 = -1417 -218x = -1417 Divide each side by '-218'. x = 6.5 Simplifying x = 6.5
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