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Simplifying 5(-9x + -9) = -5(8x + 6) Reorder the terms: 5(-9 + -9x) = -5(8x + 6) (-9 * 5 + -9x * 5) = -5(8x + 6) (-45 + -45x) = -5(8x + 6) Reorder the terms: -45 + -45x = -5(6 + 8x) -45 + -45x = (6 * -5 + 8x * -5) -45 + -45x = (-30 + -40x) Solving -45 + -45x = -30 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -45 + -45x + 40x = -30 + -40x + 40x Combine like terms: -45x + 40x = -5x -45 + -5x = -30 + -40x + 40x Combine like terms: -40x + 40x = 0 -45 + -5x = -30 + 0 -45 + -5x = -30 Add '45' to each side of the equation. -45 + 45 + -5x = -30 + 45 Combine like terms: -45 + 45 = 0 0 + -5x = -30 + 45 -5x = -30 + 45 Combine like terms: -30 + 45 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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