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Simplifying 30 + 2x = -7(7x + 3) Reorder the terms: 30 + 2x = -7(3 + 7x) 30 + 2x = (3 * -7 + 7x * -7) 30 + 2x = (-21 + -49x) Solving 30 + 2x = -21 + -49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49x' to each side of the equation. 30 + 2x + 49x = -21 + -49x + 49x Combine like terms: 2x + 49x = 51x 30 + 51x = -21 + -49x + 49x Combine like terms: -49x + 49x = 0 30 + 51x = -21 + 0 30 + 51x = -21 Add '-30' to each side of the equation. 30 + -30 + 51x = -21 + -30 Combine like terms: 30 + -30 = 0 0 + 51x = -21 + -30 51x = -21 + -30 Combine like terms: -21 + -30 = -51 51x = -51 Divide each side by '51'. x = -1 Simplifying x = -1
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