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Simplifying 7x + 52 = 3(7x + -6) Reorder the terms: 52 + 7x = 3(7x + -6) Reorder the terms: 52 + 7x = 3(-6 + 7x) 52 + 7x = (-6 * 3 + 7x * 3) 52 + 7x = (-18 + 21x) Solving 52 + 7x = -18 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 52 + 7x + -21x = -18 + 21x + -21x Combine like terms: 7x + -21x = -14x 52 + -14x = -18 + 21x + -21x Combine like terms: 21x + -21x = 0 52 + -14x = -18 + 0 52 + -14x = -18 Add '-52' to each side of the equation. 52 + -52 + -14x = -18 + -52 Combine like terms: 52 + -52 = 0 0 + -14x = -18 + -52 -14x = -18 + -52 Combine like terms: -18 + -52 = -70 -14x = -70 Divide each side by '-14'. x = 5 Simplifying x = 5
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