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Simplifying 5(x + -7) = 35x + 12 Reorder the terms: 5(-7 + x) = 35x + 12 (-7 * 5 + x * 5) = 35x + 12 (-35 + 5x) = 35x + 12 Reorder the terms: -35 + 5x = 12 + 35x Solving -35 + 5x = 12 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -35 + 5x + -35x = 12 + 35x + -35x Combine like terms: 5x + -35x = -30x -35 + -30x = 12 + 35x + -35x Combine like terms: 35x + -35x = 0 -35 + -30x = 12 + 0 -35 + -30x = 12 Add '35' to each side of the equation. -35 + 35 + -30x = 12 + 35 Combine like terms: -35 + 35 = 0 0 + -30x = 12 + 35 -30x = 12 + 35 Combine like terms: 12 + 35 = 47 -30x = 47 Divide each side by '-30'. x = -1.566666667 Simplifying x = -1.566666667
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