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Simplifying 5x + 27 = 15x + -83 Reorder the terms: 27 + 5x = 15x + -83 Reorder the terms: 27 + 5x = -83 + 15x Solving 27 + 5x = -83 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 27 + 5x + -15x = -83 + 15x + -15x Combine like terms: 5x + -15x = -10x 27 + -10x = -83 + 15x + -15x Combine like terms: 15x + -15x = 0 27 + -10x = -83 + 0 27 + -10x = -83 Add '-27' to each side of the equation. 27 + -27 + -10x = -83 + -27 Combine like terms: 27 + -27 = 0 0 + -10x = -83 + -27 -10x = -83 + -27 Combine like terms: -83 + -27 = -110 -10x = -110 Divide each side by '-10'. x = 11 Simplifying x = 11
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