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Simplifying -5(1 + -5x) = 2(14x + 2) (1 * -5 + -5x * -5) = 2(14x + 2) (-5 + 25x) = 2(14x + 2) Reorder the terms: -5 + 25x = 2(2 + 14x) -5 + 25x = (2 * 2 + 14x * 2) -5 + 25x = (4 + 28x) Solving -5 + 25x = 4 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -5 + 25x + -28x = 4 + 28x + -28x Combine like terms: 25x + -28x = -3x -5 + -3x = 4 + 28x + -28x Combine like terms: 28x + -28x = 0 -5 + -3x = 4 + 0 -5 + -3x = 4 Add '5' to each side of the equation. -5 + 5 + -3x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 4 + 5 -3x = 4 + 5 Combine like terms: 4 + 5 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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