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Simplifying -7 + -4x = 2x + -7(1 + -7x) -7 + -4x = 2x + (1 * -7 + -7x * -7) -7 + -4x = 2x + (-7 + 49x) Reorder the terms: -7 + -4x = -7 + 2x + 49x Combine like terms: 2x + 49x = 51x -7 + -4x = -7 + 51x Add '7' to each side of the equation. -7 + 7 + -4x = -7 + 7 + 51x Combine like terms: -7 + 7 = 0 0 + -4x = -7 + 7 + 51x -4x = -7 + 7 + 51x Combine like terms: -7 + 7 = 0 -4x = 0 + 51x -4x = 51x Solving -4x = 51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51x' to each side of the equation. -4x + -51x = 51x + -51x Combine like terms: -4x + -51x = -55x -55x = 51x + -51x Combine like terms: 51x + -51x = 0 -55x = 0 Divide each side by '-55'. x = 0 Simplifying x = 0
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