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Simplifying 5(x + -7) = 4x + -33 Reorder the terms: 5(-7 + x) = 4x + -33 (-7 * 5 + x * 5) = 4x + -33 (-35 + 5x) = 4x + -33 Reorder the terms: -35 + 5x = -33 + 4x Solving -35 + 5x = -33 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -35 + 5x + -4x = -33 + 4x + -4x Combine like terms: 5x + -4x = 1x -35 + 1x = -33 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + 1x = -33 + 0 -35 + 1x = -33 Add '35' to each side of the equation. -35 + 35 + 1x = -33 + 35 Combine like terms: -35 + 35 = 0 0 + 1x = -33 + 35 1x = -33 + 35 Combine like terms: -33 + 35 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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