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Simplifying 15x + -28 = 27x + -74 Reorder the terms: -28 + 15x = 27x + -74 Reorder the terms: -28 + 15x = -74 + 27x Solving -28 + 15x = -74 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -28 + 15x + -27x = -74 + 27x + -27x Combine like terms: 15x + -27x = -12x -28 + -12x = -74 + 27x + -27x Combine like terms: 27x + -27x = 0 -28 + -12x = -74 + 0 -28 + -12x = -74 Add '28' to each side of the equation. -28 + 28 + -12x = -74 + 28 Combine like terms: -28 + 28 = 0 0 + -12x = -74 + 28 -12x = -74 + 28 Combine like terms: -74 + 28 = -46 -12x = -46 Divide each side by '-12'. x = 3.833333333 Simplifying x = 3.833333333
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