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Simplifying 15x + -7 = 27x + 1 Reorder the terms: -7 + 15x = 27x + 1 Reorder the terms: -7 + 15x = 1 + 27x Solving -7 + 15x = 1 + 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. -7 + 15x + -27x = 1 + 27x + -27x Combine like terms: 15x + -27x = -12x -7 + -12x = 1 + 27x + -27x Combine like terms: 27x + -27x = 0 -7 + -12x = 1 + 0 -7 + -12x = 1 Add '7' to each side of the equation. -7 + 7 + -12x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -12x = 1 + 7 -12x = 1 + 7 Combine like terms: 1 + 7 = 8 -12x = 8 Divide each side by '-12'. x = -0.6666666667 Simplifying x = -0.6666666667
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