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Simplifying 4x + 76 = 6x + -46 Reorder the terms: 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 = -122 -2x = -122 Divide each side by '-2'. x = 61 Simplifying x = 61
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