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Simplifying 12x + -6 + -1x = 6 + -5x + -5 + 15x Reorder the terms: -6 + 12x + -1x = 6 + -5x + -5 + 15x Combine like terms: 12x + -1x = 11x -6 + 11x = 6 + -5x + -5 + 15x Reorder the terms: -6 + 11x = 6 + -5 + -5x + 15x Combine like terms: 6 + -5 = 1 -6 + 11x = 1 + -5x + 15x Combine like terms: -5x + 15x = 10x -6 + 11x = 1 + 10x Solving -6 + 11x = 1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 11x + -10x = 1 + 10x + -10x Combine like terms: 11x + -10x = 1x -6 + 1x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 1x = 1 + 0 -6 + 1x = 1 Add '6' to each side of the equation. -6 + 6 + 1x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 1 + 6 1x = 1 + 6 Combine like terms: 1 + 6 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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