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Simplifying 5x + 2 + -3x = 3x + -5 + -27 Reorder the terms: 2 + 5x + -3x = 3x + -5 + -27 Combine like terms: 5x + -3x = 2x 2 + 2x = 3x + -5 + -27 Reorder the terms: 2 + 2x = -5 + -27 + 3x Combine like terms: -5 + -27 = -32 2 + 2x = -32 + 3x Solving 2 + 2x = -32 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 2x + -3x = -32 + 3x + -3x Combine like terms: 2x + -3x = -1x 2 + -1x = -32 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -1x = -32 + 0 2 + -1x = -32 Add '-2' to each side of the equation. 2 + -2 + -1x = -32 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -32 + -2 -1x = -32 + -2 Combine like terms: -32 + -2 = -34 -1x = -34 Divide each side by '-1'. x = 34 Simplifying x = 34
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