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Simplifying 6 = 6(-5x + -4) + 5(x + -4) Reorder the terms: 6 = 6(-4 + -5x) + 5(x + -4) 6 = (-4 * 6 + -5x * 6) + 5(x + -4) 6 = (-24 + -30x) + 5(x + -4) Reorder the terms: 6 = -24 + -30x + 5(-4 + x) 6 = -24 + -30x + (-4 * 5 + x * 5) 6 = -24 + -30x + (-20 + 5x) Reorder the terms: 6 = -24 + -20 + -30x + 5x Combine like terms: -24 + -20 = -44 6 = -44 + -30x + 5x Combine like terms: -30x + 5x = -25x 6 = -44 + -25x Solving 6 = -44 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 6 + 25x = -44 + -25x + 25x Combine like terms: -25x + 25x = 0 6 + 25x = -44 + 0 6 + 25x = -44 Add '-6' to each side of the equation. 6 + -6 + 25x = -44 + -6 Combine like terms: 6 + -6 = 0 0 + 25x = -44 + -6 25x = -44 + -6 Combine like terms: -44 + -6 = -50 25x = -50 Divide each side by '25'. x = -2 Simplifying x = -2
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