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Simplifying 45x + 61 = 4x + 2 Reorder the terms: 61 + 45x = 4x + 2 Reorder the terms: 61 + 45x = 2 + 4x Solving 61 + 45x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 61 + 45x + -4x = 2 + 4x + -4x Combine like terms: 45x + -4x = 41x 61 + 41x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 61 + 41x = 2 + 0 61 + 41x = 2 Add '-61' to each side of the equation. 61 + -61 + 41x = 2 + -61 Combine like terms: 61 + -61 = 0 0 + 41x = 2 + -61 41x = 2 + -61 Combine like terms: 2 + -61 = -59 41x = -59 Divide each side by '41'. x = -1.43902439 Simplifying x = -1.43902439
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