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Simplifying 4x + 5 + 6x + 7 = 52 Reorder the terms: 5 + 7 + 4x + 6x = 52 Combine like terms: 5 + 7 = 12 12 + 4x + 6x = 52 Combine like terms: 4x + 6x = 10x 12 + 10x = 52 Solving 12 + 10x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 10x = 52 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 52 + -12 10x = 52 + -12 Combine like terms: 52 + -12 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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