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Simplifying -45 + 11x = 47 + 7x Solving -45 + 11x = 47 + 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 + 11x + -7x = 47 + 7x + -7x Combine like terms: 11x + -7x = 4x -45 + 4x = 47 + 7x + -7x Combine like terms: 7x + -7x = 0 -45 + 4x = 47 + 0 -45 + 4x = 47 Add '45' to each side of the equation. -45 + 45 + 4x = 47 + 45 Combine like terms: -45 + 45 = 0 0 + 4x = 47 + 45 4x = 47 + 45 Combine like terms: 47 + 45 = 92 4x = 92 Divide each side by '4'. x = 23 Simplifying x = 23
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