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Simplifying -27 + -6x = -4 + -5(1 + 3x) -27 + -6x = -4 + (1 * -5 + 3x * -5) -27 + -6x = -4 + (-5 + -15x) Combine like terms: -4 + -5 = -9 -27 + -6x = -9 + -15x Solving -27 + -6x = -9 + -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. -27 + -6x + 15x = -9 + -15x + 15x Combine like terms: -6x + 15x = 9x -27 + 9x = -9 + -15x + 15x Combine like terms: -15x + 15x = 0 -27 + 9x = -9 + 0 -27 + 9x = -9 Add '27' to each side of the equation. -27 + 27 + 9x = -9 + 27 Combine like terms: -27 + 27 = 0 0 + 9x = -9 + 27 9x = -9 + 27 Combine like terms: -9 + 27 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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