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Simplifying 3x + -6 + -7x = 12 + -2x + 6 Reorder the terms: -6 + 3x + -7x = 12 + -2x + 6 Combine like terms: 3x + -7x = -4x -6 + -4x = 12 + -2x + 6 Reorder the terms: -6 + -4x = 12 + 6 + -2x Combine like terms: 12 + 6 = 18 -6 + -4x = 18 + -2x Solving -6 + -4x = 18 + -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 + -4x + 2x = 18 + -2x + 2x Combine like terms: -4x + 2x = -2x -6 + -2x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + -2x = 18 + 0 -6 + -2x = 18 Add '6' to each side of the equation. -6 + 6 + -2x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 18 + 6 -2x = 18 + 6 Combine like terms: 18 + 6 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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