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Simplifying 15x + -38 = 27x + 74 Reorder the terms: -38 + 15x = 27x + 74 Reorder the terms: -38 + 15x = 74 + 27x Solving -38 + 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. -38 + 15x + -27x = 74 + 27x + -27x Combine like terms: 15x + -27x = -12x -38 + -12x = 74 + 27x + -27x Combine like terms: 27x + -27x = 0 -38 + -12x = 74 + 0 -38 + -12x = 74 Add '38' to each side of the equation. -38 + 38 + -12x = 74 + 38 Combine like terms: -38 + 38 = 0 0 + -12x = 74 + 38 -12x = 74 + 38 Combine like terms: 74 + 38 = 112 -12x = 112 Divide each side by '-12'. x = -9.333333333 Simplifying x = -9.333333333
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