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Simplifying 4x + -5(3x + -1) = 5x + 27 Reorder the terms: 4x + -5(-1 + 3x) = 5x + 27 4x + (-1 * -5 + 3x * -5) = 5x + 27 4x + (5 + -15x) = 5x + 27 Reorder the terms: 5 + 4x + -15x = 5x + 27 Combine like terms: 4x + -15x = -11x 5 + -11x = 5x + 27 Reorder the terms: 5 + -11x = 27 + 5x Solving 5 + -11x = 27 + 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. 5 + -11x + -5x = 27 + 5x + -5x Combine like terms: -11x + -5x = -16x 5 + -16x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -16x = 27 + 0 5 + -16x = 27 Add '-5' to each side of the equation. 5 + -5 + -16x = 27 + -5 Combine like terms: 5 + -5 = 0 0 + -16x = 27 + -5 -16x = 27 + -5 Combine like terms: 27 + -5 = 22 -16x = 22 Divide each side by '-16'. x = -1.375 Simplifying x = -1.375
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