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Simplifying -7x + 4(3x + -5) = -9 + -6x Reorder the terms: -7x + 4(-5 + 3x) = -9 + -6x -7x + (-5 * 4 + 3x * 4) = -9 + -6x -7x + (-20 + 12x) = -9 + -6x Reorder the terms: -20 + -7x + 12x = -9 + -6x Combine like terms: -7x + 12x = 5x -20 + 5x = -9 + -6x Solving -20 + 5x = -9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -20 + 5x + 6x = -9 + -6x + 6x Combine like terms: 5x + 6x = 11x -20 + 11x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 -20 + 11x = -9 + 0 -20 + 11x = -9 Add '20' to each side of the equation. -20 + 20 + 11x = -9 + 20 Combine like terms: -20 + 20 = 0 0 + 11x = -9 + 20 11x = -9 + 20 Combine like terms: -9 + 20 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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