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Simplifying 3(7x + -12) = 20 + 49x Reorder the terms: 3(-12 + 7x) = 20 + 49x (-12 * 3 + 7x * 3) = 20 + 49x (-36 + 21x) = 20 + 49x Solving -36 + 21x = 20 + 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. -36 + 21x + -49x = 20 + 49x + -49x Combine like terms: 21x + -49x = -28x -36 + -28x = 20 + 49x + -49x Combine like terms: 49x + -49x = 0 -36 + -28x = 20 + 0 -36 + -28x = 20 Add '36' to each side of the equation. -36 + 36 + -28x = 20 + 36 Combine like terms: -36 + 36 = 0 0 + -28x = 20 + 36 -28x = 20 + 36 Combine like terms: 20 + 36 = 56 -28x = 56 Divide each side by '-28'. x = -2 Simplifying x = -2
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