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Simplifying 6x + 7 = 3x + 52 Reorder the terms: 7 + 6x = 3x + 52 Reorder the terms: 7 + 6x = 52 + 3x Solving 7 + 6x = 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. 7 + 6x + -3x = 52 + 3x + -3x Combine like terms: 6x + -3x = 3x 7 + 3x = 52 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 3x = 52 + 0 7 + 3x = 52 Add '-7' to each side of the equation. 7 + -7 + 3x = 52 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 52 + -7 3x = 52 + -7 Combine like terms: 52 + -7 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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