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Simplifying 27 + -1(x + 7) = 5x + -4 Reorder the terms: 27 + -1(7 + x) = 5x + -4 27 + (7 * -1 + x * -1) = 5x + -4 27 + (-7 + -1x) = 5x + -4 Combine like terms: 27 + -7 = 20 20 + -1x = 5x + -4 Reorder the terms: 20 + -1x = -4 + 5x Solving 20 + -1x = -4 + 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. 20 + -1x + -5x = -4 + 5x + -5x Combine like terms: -1x + -5x = -6x 20 + -6x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -6x = -4 + 0 20 + -6x = -4 Add '-20' to each side of the equation. 20 + -20 + -6x = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = -4 + -20 -6x = -4 + -20 Combine like terms: -4 + -20 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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