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Simplifying -5x + -15 + 12x = -8 + 9x + 2 Reorder the terms: -15 + -5x + 12x = -8 + 9x + 2 Combine like terms: -5x + 12x = 7x -15 + 7x = -8 + 9x + 2 Reorder the terms: -15 + 7x = -8 + 2 + 9x Combine like terms: -8 + 2 = -6 -15 + 7x = -6 + 9x Solving -15 + 7x = -6 + 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. -15 + 7x + -9x = -6 + 9x + -9x Combine like terms: 7x + -9x = -2x -15 + -2x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + -2x = -6 + 0 -15 + -2x = -6 Add '15' to each side of the equation. -15 + 15 + -2x = -6 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -6 + 15 -2x = -6 + 15 Combine like terms: -6 + 15 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5
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