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