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Simplifying -3x + 33 = -7x + 5 Reorder the terms: 33 + -3x = -7x + 5 Reorder the terms: 33 + -3x = 5 + -7x Solving 33 + -3x = 5 + -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. 33 + -3x + 7x = 5 + -7x + 7x Combine like terms: -3x + 7x = 4x 33 + 4x = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 33 + 4x = 5 + 0 33 + 4x = 5 Add '-33' to each side of the equation. 33 + -33 + 4x = 5 + -33 Combine like terms: 33 + -33 = 0 0 + 4x = 5 + -33 4x = 5 + -33 Combine like terms: 5 + -33 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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