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Simplifying 4x + -1(2 + 9x) = 15x + -27 4x + (2 * -1 + 9x * -1) = 15x + -27 4x + (-2 + -9x) = 15x + -27 Reorder the terms: -2 + 4x + -9x = 15x + -27 Combine like terms: 4x + -9x = -5x -2 + -5x = 15x + -27 Reorder the terms: -2 + -5x = -27 + 15x Solving -2 + -5x = -27 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -2 + -5x + -15x = -27 + 15x + -15x Combine like terms: -5x + -15x = -20x -2 + -20x = -27 + 15x + -15x Combine like terms: 15x + -15x = 0 -2 + -20x = -27 + 0 -2 + -20x = -27 Add '2' to each side of the equation. -2 + 2 + -20x = -27 + 2 Combine like terms: -2 + 2 = 0 0 + -20x = -27 + 2 -20x = -27 + 2 Combine like terms: -27 + 2 = -25 -20x = -25 Divide each side by '-20'. x = 1.25 Simplifying x = 1.25
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