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Simplifying 7(-5x + 1) = -7x + 7 Reorder the terms: 7(1 + -5x) = -7x + 7 (1 * 7 + -5x * 7) = -7x + 7 (7 + -35x) = -7x + 7 Reorder the terms: 7 + -35x = 7 + -7x Add '-7' to each side of the equation. 7 + -7 + -35x = 7 + -7 + -7x Combine like terms: 7 + -7 = 0 0 + -35x = 7 + -7 + -7x -35x = 7 + -7 + -7x Combine like terms: 7 + -7 = 0 -35x = 0 + -7x -35x = -7x Solving -35x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -35x + 7x = -7x + 7x Combine like terms: -35x + 7x = -28x -28x = -7x + 7x Combine like terms: -7x + 7x = 0 -28x = 0 Divide each side by '-28'. x = 0 Simplifying x = 0
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