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Simplifying -32 + 2x = -7(7x + 4) + -4 Reorder the terms: -32 + 2x = -7(4 + 7x) + -4 -32 + 2x = (4 * -7 + 7x * -7) + -4 -32 + 2x = (-28 + -49x) + -4 Reorder the terms: -32 + 2x = -28 + -4 + -49x Combine like terms: -28 + -4 = -32 -32 + 2x = -32 + -49x Add '32' to each side of the equation. -32 + 32 + 2x = -32 + 32 + -49x Combine like terms: -32 + 32 = 0 0 + 2x = -32 + 32 + -49x 2x = -32 + 32 + -49x Combine like terms: -32 + 32 = 0 2x = 0 + -49x 2x = -49x Solving 2x = -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. 2x + 49x = -49x + 49x Combine like terms: 2x + 49x = 51x 51x = -49x + 49x Combine like terms: -49x + 49x = 0 51x = 0 Divide each side by '51'. x = 0 Simplifying x = 0
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