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Simplifying 15x + -6 + -5x = 7 + -1 + -2x Reorder the terms: -6 + 15x + -5x = 7 + -1 + -2x Combine like terms: 15x + -5x = 10x -6 + 10x = 7 + -1 + -2x Combine like terms: 7 + -1 = 6 -6 + 10x = 6 + -2x Solving -6 + 10x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 10x + 2x = 6 + -2x + 2x Combine like terms: 10x + 2x = 12x -6 + 12x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 12x = 6 + 0 -6 + 12x = 6 Add '6' to each side of the equation. -6 + 6 + 12x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 6 + 6 12x = 6 + 6 Combine like terms: 6 + 6 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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