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Simplifying -4x + 27 = -5(x + 1) + -3x Reorder the terms: 27 + -4x = -5(x + 1) + -3x Reorder the terms: 27 + -4x = -5(1 + x) + -3x 27 + -4x = (1 * -5 + x * -5) + -3x 27 + -4x = (-5 + -5x) + -3x Combine like terms: -5x + -3x = -8x 27 + -4x = -5 + -8x Solving 27 + -4x = -5 + -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. 27 + -4x + 8x = -5 + -8x + 8x Combine like terms: -4x + 8x = 4x 27 + 4x = -5 + -8x + 8x Combine like terms: -8x + 8x = 0 27 + 4x = -5 + 0 27 + 4x = -5 Add '-27' to each side of the equation. 27 + -27 + 4x = -5 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = -5 + -27 4x = -5 + -27 Combine like terms: -5 + -27 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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