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Simplifying 45 + 4x = 61 + 2x Solving 45 + 4x = 61 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 45 + 4x + -2x = 61 + 2x + -2x Combine like terms: 4x + -2x = 2x 45 + 2x = 61 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + 2x = 61 + 0 45 + 2x = 61 Add '-45' to each side of the equation. 45 + -45 + 2x = 61 + -45 Combine like terms: 45 + -45 = 0 0 + 2x = 61 + -45 2x = 61 + -45 Combine like terms: 61 + -45 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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