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Simplifying 3x + -6 = 12x + -7 + -10x Reorder the terms: -6 + 3x = 12x + -7 + -10x Reorder the terms: -6 + 3x = -7 + 12x + -10x Combine like terms: 12x + -10x = 2x -6 + 3x = -7 + 2x Solving -6 + 3x = -7 + 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 + 3x + -2x = -7 + 2x + -2x Combine like terms: 3x + -2x = 1x -6 + 1x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 1x = -7 + 0 -6 + 1x = -7 Add '6' to each side of the equation. -6 + 6 + 1x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -7 + 6 1x = -7 + 6 Combine like terms: -7 + 6 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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