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Simplifying 5x + -1(9x + 3) = 8x + -27 Reorder the terms: 5x + -1(3 + 9x) = 8x + -27 5x + (3 * -1 + 9x * -1) = 8x + -27 5x + (-3 + -9x) = 8x + -27 Reorder the terms: -3 + 5x + -9x = 8x + -27 Combine like terms: 5x + -9x = -4x -3 + -4x = 8x + -27 Reorder the terms: -3 + -4x = -27 + 8x Solving -3 + -4x = -27 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + -4x + -8x = -27 + 8x + -8x Combine like terms: -4x + -8x = -12x -3 + -12x = -27 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -12x = -27 + 0 -3 + -12x = -27 Add '3' to each side of the equation. -3 + 3 + -12x = -27 + 3 Combine like terms: -3 + 3 = 0 0 + -12x = -27 + 3 -12x = -27 + 3 Combine like terms: -27 + 3 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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