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Simplifying 5(-2 + -5x) = 22 + 7x (-2 * 5 + -5x * 5) = 22 + 7x (-10 + -25x) = 22 + 7x Solving -10 + -25x = 22 + 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. -10 + -25x + -7x = 22 + 7x + -7x Combine like terms: -25x + -7x = -32x -10 + -32x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -32x = 22 + 0 -10 + -32x = 22 Add '10' to each side of the equation. -10 + 10 + -32x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + -32x = 22 + 10 -32x = 22 + 10 Combine like terms: 22 + 10 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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