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