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Simplifying -12 + -5x = 9(x + -6) Reorder the terms: -12 + -5x = 9(-6 + x) -12 + -5x = (-6 * 9 + x * 9) -12 + -5x = (-54 + 9x) Solving -12 + -5x = -54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -12 + -5x + -9x = -54 + 9x + -9x Combine like terms: -5x + -9x = -14x -12 + -14x = -54 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + -14x = -54 + 0 -12 + -14x = -54 Add '12' to each side of the equation. -12 + 12 + -14x = -54 + 12 Combine like terms: -12 + 12 = 0 0 + -14x = -54 + 12 -14x = -54 + 12 Combine like terms: -54 + 12 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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