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Simplifying 3x + -5x + 27 = 4x + 33 Reorder the terms: 27 + 3x + -5x = 4x + 33 Combine like terms: 3x + -5x = -2x 27 + -2x = 4x + 33 Reorder the terms: 27 + -2x = 33 + 4x Solving 27 + -2x = 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. 27 + -2x + -4x = 33 + 4x + -4x Combine like terms: -2x + -4x = -6x 27 + -6x = 33 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + -6x = 33 + 0 27 + -6x = 33 Add '-27' to each side of the equation. 27 + -27 + -6x = 33 + -27 Combine like terms: 27 + -27 = 0 0 + -6x = 33 + -27 -6x = 33 + -27 Combine like terms: 33 + -27 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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