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Simplifying -6x + -12 = 10 + 3x + 5 Reorder the terms: -12 + -6x = 10 + 3x + 5 Reorder the terms: -12 + -6x = 10 + 5 + 3x Combine like terms: 10 + 5 = 15 -12 + -6x = 15 + 3x Solving -12 + -6x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + -6x + -3x = 15 + 3x + -3x Combine like terms: -6x + -3x = -9x -12 + -9x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -9x = 15 + 0 -12 + -9x = 15 Add '12' to each side of the equation. -12 + 12 + -9x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = 15 + 12 -9x = 15 + 12 Combine like terms: 15 + 12 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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