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Simplifying 5x + 2x + -6 = -3x + -12 Reorder the terms: -6 + 5x + 2x = -3x + -12 Combine like terms: 5x + 2x = 7x -6 + 7x = -3x + -12 Reorder the terms: -6 + 7x = -12 + -3x Solving -6 + 7x = -12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 7x + 3x = -12 + -3x + 3x Combine like terms: 7x + 3x = 10x -6 + 10x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 10x = -12 + 0 -6 + 10x = -12 Add '6' to each side of the equation. -6 + 6 + 10x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = -12 + 6 10x = -12 + 6 Combine like terms: -12 + 6 = -6 10x = -6 Divide each side by '10'. x = -0.6 Simplifying x = -0.6
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