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Simplifying -2(x + 5) = 7(x + 5) Reorder the terms: -2(5 + x) = 7(x + 5) (5 * -2 + x * -2) = 7(x + 5) (-10 + -2x) = 7(x + 5) Reorder the terms: -10 + -2x = 7(5 + x) -10 + -2x = (5 * 7 + x * 7) -10 + -2x = (35 + 7x) Solving -10 + -2x = 35 + 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 = 35 + 7x + -7x Combine like terms: -2x + -7x = -9x -10 + -9x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -9x = 35 + 0 -10 + -9x = 35 Add '10' to each side of the equation. -10 + 10 + -9x = 35 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = 35 + 10 -9x = 35 + 10 Combine like terms: 35 + 10 = 45 -9x = 45 Divide each side by '-9'. x = -5 Simplifying x = -5
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