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Simplifying 6x + 4(-3x + -5) = -17 + -9x Reorder the terms: 6x + 4(-5 + -3x) = -17 + -9x 6x + (-5 * 4 + -3x * 4) = -17 + -9x 6x + (-20 + -12x) = -17 + -9x Reorder the terms: -20 + 6x + -12x = -17 + -9x Combine like terms: 6x + -12x = -6x -20 + -6x = -17 + -9x Solving -20 + -6x = -17 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -20 + -6x + 9x = -17 + -9x + 9x Combine like terms: -6x + 9x = 3x -20 + 3x = -17 + -9x + 9x Combine like terms: -9x + 9x = 0 -20 + 3x = -17 + 0 -20 + 3x = -17 Add '20' to each side of the equation. -20 + 20 + 3x = -17 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = -17 + 20 3x = -17 + 20 Combine like terms: -17 + 20 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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