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Simplifying 12(x + -9) + -5 = 24x + -185 Reorder the terms: 12(-9 + x) + -5 = 24x + -185 (-9 * 12 + x * 12) + -5 = 24x + -185 (-108 + 12x) + -5 = 24x + -185 Reorder the terms: -108 + -5 + 12x = 24x + -185 Combine like terms: -108 + -5 = -113 -113 + 12x = 24x + -185 Reorder the terms: -113 + 12x = -185 + 24x Solving -113 + 12x = -185 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -113 + 12x + -24x = -185 + 24x + -24x Combine like terms: 12x + -24x = -12x -113 + -12x = -185 + 24x + -24x Combine like terms: 24x + -24x = 0 -113 + -12x = -185 + 0 -113 + -12x = -185 Add '113' to each side of the equation. -113 + 113 + -12x = -185 + 113 Combine like terms: -113 + 113 = 0 0 + -12x = -185 + 113 -12x = -185 + 113 Combine like terms: -185 + 113 = -72 -12x = -72 Divide each side by '-12'. x = 6 Simplifying x = 6
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