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Simplifying 3x + 10 = x + 78 Reorder the terms: 10 + 3x = x + 78 Reorder the terms: 10 + 3x = 78 + x Solving 10 + 3x = 78 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + 3x + -1x = 78 + x + -1x Combine like terms: 3x + -1x = 2x 10 + 2x = 78 + x + -1x Combine like terms: x + -1x = 0 10 + 2x = 78 + 0 10 + 2x = 78 Add '-10' to each side of the equation. 10 + -10 + 2x = 78 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 78 + -10 2x = 78 + -10 Combine like terms: 78 + -10 = 68 2x = 68 Divide each side by '2'. x = 34 Simplifying x = 34
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