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Simplifying 5(x + -7) = 3x + -56 + -5x Reorder the terms: 5(-7 + x) = 3x + -56 + -5x (-7 * 5 + x * 5) = 3x + -56 + -5x (-35 + 5x) = 3x + -56 + -5x Reorder the terms: -35 + 5x = -56 + 3x + -5x Combine like terms: 3x + -5x = -2x -35 + 5x = -56 + -2x Solving -35 + 5x = -56 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -35 + 5x + 2x = -56 + -2x + 2x Combine like terms: 5x + 2x = 7x -35 + 7x = -56 + -2x + 2x Combine like terms: -2x + 2x = 0 -35 + 7x = -56 + 0 -35 + 7x = -56 Add '35' to each side of the equation. -35 + 35 + 7x = -56 + 35 Combine like terms: -35 + 35 = 0 0 + 7x = -56 + 35 7x = -56 + 35 Combine like terms: -56 + 35 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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