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Simplifying 7x + 52 = 10x + 3z Reorder the terms: 52 + 7x = 10x + 3z Solving 52 + 7x = 10x + 3z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 52 + 7x + -10x = 10x + -10x + 3z Combine like terms: 7x + -10x = -3x 52 + -3x = 10x + -10x + 3z Combine like terms: 10x + -10x = 0 52 + -3x = 0 + 3z 52 + -3x = 3z Add '-52' to each side of the equation. 52 + -52 + -3x = -52 + 3z Combine like terms: 52 + -52 = 0 0 + -3x = -52 + 3z -3x = -52 + 3z Divide each side by '-3'. x = 17.33333333 + -1z Simplifying x = 17.33333333 + -1z
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