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Simplifying 4x + -7x + 33 = 2x + 38 Reorder the terms: 33 + 4x + -7x = 2x + 38 Combine like terms: 4x + -7x = -3x 33 + -3x = 2x + 38 Reorder the terms: 33 + -3x = 38 + 2x Solving 33 + -3x = 38 + 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. 33 + -3x + -2x = 38 + 2x + -2x Combine like terms: -3x + -2x = -5x 33 + -5x = 38 + 2x + -2x Combine like terms: 2x + -2x = 0 33 + -5x = 38 + 0 33 + -5x = 38 Add '-33' to each side of the equation. 33 + -33 + -5x = 38 + -33 Combine like terms: 33 + -33 = 0 0 + -5x = 38 + -33 -5x = 38 + -33 Combine like terms: 38 + -33 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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