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Simplifying 76 + 4x = 6x + 46 Reorder the terms: 76 + 4x = 46 + 6x Solving 76 + 4x = 46 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 76 + 4x + -6x = 46 + 6x + -6x Combine like terms: 4x + -6x = -2x 76 + -2x = 46 + 6x + -6x Combine like terms: 6x + -6x = 0 76 + -2x = 46 + 0 76 + -2x = 46 Add '-76' to each side of the equation. 76 + -76 + -2x = 46 + -76 Combine like terms: 76 + -76 = 0 0 + -2x = 46 + -76 -2x = 46 + -76 Combine like terms: 46 + -76 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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