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Simplifying -2x + -5 = 9 + -12(2 + x) Reorder the terms: -5 + -2x = 9 + -12(2 + x) -5 + -2x = 9 + (2 * -12 + x * -12) -5 + -2x = 9 + (-24 + -12x) Combine like terms: 9 + -24 = -15 -5 + -2x = -15 + -12x Solving -5 + -2x = -15 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -5 + -2x + 12x = -15 + -12x + 12x Combine like terms: -2x + 12x = 10x -5 + 10x = -15 + -12x + 12x Combine like terms: -12x + 12x = 0 -5 + 10x = -15 + 0 -5 + 10x = -15 Add '5' to each side of the equation. -5 + 5 + 10x = -15 + 5 Combine like terms: -5 + 5 = 0 0 + 10x = -15 + 5 10x = -15 + 5 Combine like terms: -15 + 5 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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