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Simplifying 7x + 12 = 52 + -3x Reorder the terms: 12 + 7x = 52 + -3x Solving 12 + 7x = 52 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + 7x + 3x = 52 + -3x + 3x Combine like terms: 7x + 3x = 10x 12 + 10x = 52 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 10x = 52 + 0 12 + 10x = 52 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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