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Simplifying 5(x + 6) = -25(x + 2) Reorder the terms: 5(6 + x) = -25(x + 2) (6 * 5 + x * 5) = -25(x + 2) (30 + 5x) = -25(x + 2) Reorder the terms: 30 + 5x = -25(2 + x) 30 + 5x = (2 * -25 + x * -25) 30 + 5x = (-50 + -25x) Solving 30 + 5x = -50 + -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. 30 + 5x + 25x = -50 + -25x + 25x Combine like terms: 5x + 25x = 30x 30 + 30x = -50 + -25x + 25x Combine like terms: -25x + 25x = 0 30 + 30x = -50 + 0 30 + 30x = -50 Add '-30' to each side of the equation. 30 + -30 + 30x = -50 + -30 Combine like terms: 30 + -30 = 0 0 + 30x = -50 + -30 30x = -50 + -30 Combine like terms: -50 + -30 = -80 30x = -80 Divide each side by '30'. x = -2.666666667 Simplifying x = -2.666666667
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