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Simplifying 7(2x + -5) = 5x + -2 Reorder the terms: 7(-5 + 2x) = 5x + -2 (-5 * 7 + 2x * 7) = 5x + -2 (-35 + 14x) = 5x + -2 Reorder the terms: -35 + 14x = -2 + 5x Solving -35 + 14x = -2 + 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. -35 + 14x + -5x = -2 + 5x + -5x Combine like terms: 14x + -5x = 9x -35 + 9x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -35 + 9x = -2 + 0 -35 + 9x = -2 Add '35' to each side of the equation. -35 + 35 + 9x = -2 + 35 Combine like terms: -35 + 35 = 0 0 + 9x = -2 + 35 9x = -2 + 35 Combine like terms: -2 + 35 = 33 9x = 33 Divide each side by '9'. x = 3.666666667 Simplifying x = 3.666666667
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