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Simplifying 10x + 27 = 15 + -2x Reorder the terms: 27 + 10x = 15 + -2x Solving 27 + 10x = 15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 27 + 10x + 2x = 15 + -2x + 2x Combine like terms: 10x + 2x = 12x 27 + 12x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 27 + 12x = 15 + 0 27 + 12x = 15 Add '-27' to each side of the equation. 27 + -27 + 12x = 15 + -27 Combine like terms: 27 + -27 = 0 0 + 12x = 15 + -27 12x = 15 + -27 Combine like terms: 15 + -27 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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