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Simplifying 3x + 76 = 5x + 64 Reorder the terms: 76 + 3x = 5x + 64 Reorder the terms: 76 + 3x = 64 + 5x Solving 76 + 3x = 64 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 76 + 3x + -5x = 64 + 5x + -5x Combine like terms: 3x + -5x = -2x 76 + -2x = 64 + 5x + -5x Combine like terms: 5x + -5x = 0 76 + -2x = 64 + 0 76 + -2x = 64 Add '-76' to each side of the equation. 76 + -76 + -2x = 64 + -76 Combine like terms: 76 + -76 = 0 0 + -2x = 64 + -76 -2x = 64 + -76 Combine like terms: 64 + -76 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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