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Simplifying 3x + 12 = -78 + -7x Reorder the terms: 12 + 3x = -78 + -7x Solving 12 + 3x = -78 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + 3x + 7x = -78 + -7x + 7x Combine like terms: 3x + 7x = 10x 12 + 10x = -78 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 10x = -78 + 0 12 + 10x = -78 Add '-12' to each side of the equation. 12 + -12 + 10x = -78 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = -78 + -12 10x = -78 + -12 Combine like terms: -78 + -12 = -90 10x = -90 Divide each side by '10'. x = -9 Simplifying x = -9
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