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Simplifying -2(x + 5) = 7x Reorder the terms: -2(5 + x) = 7x (5 * -2 + x * -2) = 7x (-10 + -2x) = 7x Solving -10 + -2x = 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 + -2x + -7x = 7x + -7x Combine like terms: -2x + -7x = -9x -10 + -9x = 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -9x = 0 Add '10' to each side of the equation. -10 + 10 + -9x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = 0 + 10 -9x = 0 + 10 Combine like terms: 0 + 10 = 10 -9x = 10 Divide each side by '-9'. x = -1.111111111 Simplifying x = -1.111111111
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