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Simplifying 78 + 7x = 102 + 4x Solving 78 + 7x = 102 + 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. 78 + 7x + -4x = 102 + 4x + -4x Combine like terms: 7x + -4x = 3x 78 + 3x = 102 + 4x + -4x Combine like terms: 4x + -4x = 0 78 + 3x = 102 + 0 78 + 3x = 102 Add '-78' to each side of the equation. 78 + -78 + 3x = 102 + -78 Combine like terms: 78 + -78 = 0 0 + 3x = 102 + -78 3x = 102 + -78 Combine like terms: 102 + -78 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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