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Simplifying 7x + 12 = -4x + 78 Reorder the terms: 12 + 7x = -4x + 78 Reorder the terms: 12 + 7x = 78 + -4x Solving 12 + 7x = 78 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + 7x + 4x = 78 + -4x + 4x Combine like terms: 7x + 4x = 11x 12 + 11x = 78 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 11x = 78 + 0 12 + 11x = 78 Add '-12' to each side of the equation. 12 + -12 + 11x = 78 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 78 + -12 11x = 78 + -12 Combine like terms: 78 + -12 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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