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Simplifying 8x + -27 = 5(x + -3) Reorder the terms: -27 + 8x = 5(x + -3) Reorder the terms: -27 + 8x = 5(-3 + x) -27 + 8x = (-3 * 5 + x * 5) -27 + 8x = (-15 + 5x) Solving -27 + 8x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -27 + 8x + -5x = -15 + 5x + -5x Combine like terms: 8x + -5x = 3x -27 + 3x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 3x = -15 + 0 -27 + 3x = -15 Add '27' to each side of the equation. -27 + 27 + 3x = -15 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = -15 + 27 3x = -15 + 27 Combine like terms: -15 + 27 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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