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Simplifying 7x + 10 = 3x + 78 Reorder the terms: 10 + 7x = 3x + 78 Reorder the terms: 10 + 7x = 78 + 3x Solving 10 + 7x = 78 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 7x + -3x = 78 + 3x + -3x Combine like terms: 7x + -3x = 4x 10 + 4x = 78 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 4x = 78 + 0 10 + 4x = 78 Add '-10' to each side of the equation. 10 + -10 + 4x = 78 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 78 + -10 4x = 78 + -10 Combine like terms: 78 + -10 = 68 4x = 68 Divide each side by '4'. x = 17 Simplifying x = 17
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