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Simplifying -8x + -5(x + 9) = -6(2x + 6) Reorder the terms: -8x + -5(9 + x) = -6(2x + 6) -8x + (9 * -5 + x * -5) = -6(2x + 6) -8x + (-45 + -5x) = -6(2x + 6) Reorder the terms: -45 + -8x + -5x = -6(2x + 6) Combine like terms: -8x + -5x = -13x -45 + -13x = -6(2x + 6) Reorder the terms: -45 + -13x = -6(6 + 2x) -45 + -13x = (6 * -6 + 2x * -6) -45 + -13x = (-36 + -12x) Solving -45 + -13x = -36 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -45 + -13x + 12x = -36 + -12x + 12x Combine like terms: -13x + 12x = -1x -45 + -1x = -36 + -12x + 12x Combine like terms: -12x + 12x = 0 -45 + -1x = -36 + 0 -45 + -1x = -36 Add '45' to each side of the equation. -45 + 45 + -1x = -36 + 45 Combine like terms: -45 + 45 = 0 0 + -1x = -36 + 45 -1x = -36 + 45 Combine like terms: -36 + 45 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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