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Simplifying 38 + 7x = -3(-7x + 6) Reorder the terms: 38 + 7x = -3(6 + -7x) 38 + 7x = (6 * -3 + -7x * -3) 38 + 7x = (-18 + 21x) Solving 38 + 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. 38 + 7x + -21x = -18 + 21x + -21x Combine like terms: 7x + -21x = -14x 38 + -14x = -18 + 21x + -21x Combine like terms: 21x + -21x = 0 38 + -14x = -18 + 0 38 + -14x = -18 Add '-38' to each side of the equation. 38 + -38 + -14x = -18 + -38 Combine like terms: 38 + -38 = 0 0 + -14x = -18 + -38 -14x = -18 + -38 Combine like terms: -18 + -38 = -56 -14x = -56 Divide each side by '-14'. x = 4 Simplifying x = 4
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