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Simplifying 3x + 27 + -2x = 8 + 5x + -5 Reorder the terms: 27 + 3x + -2x = 8 + 5x + -5 Combine like terms: 3x + -2x = 1x 27 + 1x = 8 + 5x + -5 Reorder the terms: 27 + 1x = 8 + -5 + 5x Combine like terms: 8 + -5 = 3 27 + 1x = 3 + 5x Solving 27 + 1x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 27 + 1x + -5x = 3 + 5x + -5x Combine like terms: 1x + -5x = -4x 27 + -4x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + -4x = 3 + 0 27 + -4x = 3 Add '-27' to each side of the equation. 27 + -27 + -4x = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -4x = 3 + -27 -4x = 3 + -27 Combine like terms: 3 + -27 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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