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Simplifying 27 + -8x = 8 + -5(x + -8) Reorder the terms: 27 + -8x = 8 + -5(-8 + x) 27 + -8x = 8 + (-8 * -5 + x * -5) 27 + -8x = 8 + (40 + -5x) Combine like terms: 8 + 40 = 48 27 + -8x = 48 + -5x Solving 27 + -8x = 48 + -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 = 48 + -5x + 5x Combine like terms: -8x + 5x = -3x 27 + -3x = 48 + -5x + 5x Combine like terms: -5x + 5x = 0 27 + -3x = 48 + 0 27 + -3x = 48 Add '-27' to each side of the equation. 27 + -27 + -3x = 48 + -27 Combine like terms: 27 + -27 = 0 0 + -3x = 48 + -27 -3x = 48 + -27 Combine like terms: 48 + -27 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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