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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 = 3x 12 + 3x = 78 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 3x = 78 + 0 12 + 3x = 78 Add '-12' to each side of the equation. 12 + -12 + 3x = 78 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 78 + -12 3x = 78 + -12 Combine like terms: 78 + -12 = 66 3x = 66 Divide each side by '3'. x = 22 Simplifying x = 22
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