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Simplifying -5(x + 9) = 8x + -6 Reorder the terms: -5(9 + x) = 8x + -6 (9 * -5 + x * -5) = 8x + -6 (-45 + -5x) = 8x + -6 Reorder the terms: -45 + -5x = -6 + 8x Solving -45 + -5x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -45 + -5x + -8x = -6 + 8x + -8x Combine like terms: -5x + -8x = -13x -45 + -13x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -45 + -13x = -6 + 0 -45 + -13x = -6 Add '45' to each side of the equation. -45 + 45 + -13x = -6 + 45 Combine like terms: -45 + 45 = 0 0 + -13x = -6 + 45 -13x = -6 + 45 Combine like terms: -6 + 45 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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