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Simplifying 10x + -6x + -15 = 12 + -5x Reorder the terms: -15 + 10x + -6x = 12 + -5x Combine like terms: 10x + -6x = 4x -15 + 4x = 12 + -5x Solving -15 + 4x = 12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -15 + 4x + 5x = 12 + -5x + 5x Combine like terms: 4x + 5x = 9x -15 + 9x = 12 + -5x + 5x Combine like terms: -5x + 5x = 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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