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Simplifying -1(2x + 7) = 5(5x + 1) Reorder the terms: -1(7 + 2x) = 5(5x + 1) (7 * -1 + 2x * -1) = 5(5x + 1) (-7 + -2x) = 5(5x + 1) Reorder the terms: -7 + -2x = 5(1 + 5x) -7 + -2x = (1 * 5 + 5x * 5) -7 + -2x = (5 + 25x) Solving -7 + -2x = 5 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -7 + -2x + -25x = 5 + 25x + -25x Combine like terms: -2x + -25x = -27x -7 + -27x = 5 + 25x + -25x Combine like terms: 25x + -25x = 0 -7 + -27x = 5 + 0 -7 + -27x = 5 Add '7' to each side of the equation. -7 + 7 + -27x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -27x = 5 + 7 -27x = 5 + 7 Combine like terms: 5 + 7 = 12 -27x = 12 Divide each side by '-27'. x = -0.4444444444 Simplifying x = -0.4444444444
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