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Simplifying 11x + 29 = 7x + 45 Reorder the terms: 29 + 11x = 7x + 45 Reorder the terms: 29 + 11x = 45 + 7x Solving 29 + 11x = 45 + 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. 29 + 11x + -7x = 45 + 7x + -7x Combine like terms: 11x + -7x = 4x 29 + 4x = 45 + 7x + -7x Combine like terms: 7x + -7x = 0 29 + 4x = 45 + 0 29 + 4x = 45 Add '-29' to each side of the equation. 29 + -29 + 4x = 45 + -29 Combine like terms: 29 + -29 = 0 0 + 4x = 45 + -29 4x = 45 + -29 Combine like terms: 45 + -29 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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