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Simplifying -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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