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Simplifying 27 + -4x = -4(x + -5) + -1x Reorder the terms: 27 + -4x = -4(-5 + x) + -1x 27 + -4x = (-5 * -4 + x * -4) + -1x 27 + -4x = (20 + -4x) + -1x Combine like terms: -4x + -1x = -5x 27 + -4x = 20 + -5x Solving 27 + -4x = 20 + -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 + -4x + 5x = 20 + -5x + 5x Combine like terms: -4x + 5x = 1x 27 + 1x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 27 + 1x = 20 + 0 27 + 1x = 20 Add '-27' to each side of the equation. 27 + -27 + 1x = 20 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 20 + -27 1x = 20 + -27 Combine like terms: 20 + -27 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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