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Simplifying 5(x + -35) = 30x Reorder the terms: 5(-35 + x) = 30x (-35 * 5 + x * 5) = 30x (-175 + 5x) = 30x Solving -175 + 5x = 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -175 + 5x + -30x = 30x + -30x Combine like terms: 5x + -30x = -25x -175 + -25x = 30x + -30x Combine like terms: 30x + -30x = 0 -175 + -25x = 0 Add '175' to each side of the equation. -175 + 175 + -25x = 0 + 175 Combine like terms: -175 + 175 = 0 0 + -25x = 0 + 175 -25x = 0 + 175 Combine like terms: 0 + 175 = 175 -25x = 175 Divide each side by '-25'. x = -7 Simplifying x = -7
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