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Simplifying 45 + 5x = 7x + 23 Reorder the terms: 45 + 5x = 23 + 7x Solving 45 + 5x = 23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 45 + 5x + -7x = 23 + 7x + -7x Combine like terms: 5x + -7x = -2x 45 + -2x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 45 + -2x = 23 + 0 45 + -2x = 23 Add '-45' to each side of the equation. 45 + -45 + -2x = 23 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = 23 + -45 -2x = 23 + -45 Combine like terms: 23 + -45 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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