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Simplifying 6x + 12 = -78 + -9x Reorder the terms: 12 + 6x = -78 + -9x Solving 12 + 6x = -78 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 12 + 6x + 9x = -78 + -9x + 9x Combine like terms: 6x + 9x = 15x 12 + 15x = -78 + -9x + 9x Combine like terms: -9x + 9x = 0 12 + 15x = -78 + 0 12 + 15x = -78 Add '-12' to each side of the equation. 12 + -12 + 15x = -78 + -12 Combine like terms: 12 + -12 = 0 0 + 15x = -78 + -12 15x = -78 + -12 Combine like terms: -78 + -12 = -90 15x = -90 Divide each side by '15'. x = -6 Simplifying x = -6
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