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Simplifying -3x + -15 = -2x + 8x + 12 Reorder the terms: -15 + -3x = -2x + 8x + 12 Reorder the terms: -15 + -3x = 12 + -2x + 8x Combine like terms: -2x + 8x = 6x -15 + -3x = 12 + 6x Solving -15 + -3x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + -3x + -6x = 12 + 6x + -6x Combine like terms: -3x + -6x = -9x -15 + -9x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -9x = 12 + 0 -15 + -9x = 12 Add '15' to each side of the equation. -15 + 15 + -9x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + -9x = 12 + 15 -9x = 12 + 15 Combine like terms: 12 + 15 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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