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Simplifying 5(x + -7) = -3x + -19 Reorder the terms: 5(-7 + x) = -3x + -19 (-7 * 5 + x * 5) = -3x + -19 (-35 + 5x) = -3x + -19 Reorder the terms: -35 + 5x = -19 + -3x Solving -35 + 5x = -19 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -35 + 5x + 3x = -19 + -3x + 3x Combine like terms: 5x + 3x = 8x -35 + 8x = -19 + -3x + 3x Combine like terms: -3x + 3x = 0 -35 + 8x = -19 + 0 -35 + 8x = -19 Add '35' to each side of the equation. -35 + 35 + 8x = -19 + 35 Combine like terms: -35 + 35 = 0 0 + 8x = -19 + 35 8x = -19 + 35 Combine like terms: -19 + 35 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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