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Simplifying 7(x + -5) + -2x = 4x + -33 Reorder the terms: 7(-5 + x) + -2x = 4x + -33 (-5 * 7 + x * 7) + -2x = 4x + -33 (-35 + 7x) + -2x = 4x + -33 Combine like terms: 7x + -2x = 5x -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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