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Simplifying 52 + -3x = 7x + 22 Reorder the terms: 52 + -3x = 22 + 7x Solving 52 + -3x = 22 + 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. 52 + -3x + -7x = 22 + 7x + -7x Combine like terms: -3x + -7x = -10x 52 + -10x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 52 + -10x = 22 + 0 52 + -10x = 22 Add '-52' to each side of the equation. 52 + -52 + -10x = 22 + -52 Combine like terms: 52 + -52 = 0 0 + -10x = 22 + -52 -10x = 22 + -52 Combine like terms: 22 + -52 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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