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Simplifying 5(6x + -2) = -35 + 5x Reorder the terms: 5(-2 + 6x) = -35 + 5x (-2 * 5 + 6x * 5) = -35 + 5x (-10 + 30x) = -35 + 5x Solving -10 + 30x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -10 + 30x + -5x = -35 + 5x + -5x Combine like terms: 30x + -5x = 25x -10 + 25x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 25x = -35 + 0 -10 + 25x = -35 Add '10' to each side of the equation. -10 + 10 + 25x = -35 + 10 Combine like terms: -10 + 10 = 0 0 + 25x = -35 + 10 25x = -35 + 10 Combine like terms: -35 + 10 = -25 25x = -25 Divide each side by '25'. x = -1 Simplifying x = -1
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