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Simplifying -7(x + 1) = 5(5x + -2) Reorder the terms: -7(1 + x) = 5(5x + -2) (1 * -7 + x * -7) = 5(5x + -2) (-7 + -7x) = 5(5x + -2) Reorder the terms: -7 + -7x = 5(-2 + 5x) -7 + -7x = (-2 * 5 + 5x * 5) -7 + -7x = (-10 + 25x) Solving -7 + -7x = -10 + 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 + -7x + -25x = -10 + 25x + -25x Combine like terms: -7x + -25x = -32x -7 + -32x = -10 + 25x + -25x Combine like terms: 25x + -25x = 0 -7 + -32x = -10 + 0 -7 + -32x = -10 Add '7' to each side of the equation. -7 + 7 + -32x = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -32x = -10 + 7 -32x = -10 + 7 Combine like terms: -10 + 7 = -3 -32x = -3 Divide each side by '-32'. x = 0.09375 Simplifying x = 0.09375
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