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Simplifying -12x + 5(-9x + -6) = 7(-8x + -5) Reorder the terms: -12x + 5(-6 + -9x) = 7(-8x + -5) -12x + (-6 * 5 + -9x * 5) = 7(-8x + -5) -12x + (-30 + -45x) = 7(-8x + -5) Reorder the terms: -30 + -12x + -45x = 7(-8x + -5) Combine like terms: -12x + -45x = -57x -30 + -57x = 7(-8x + -5) Reorder the terms: -30 + -57x = 7(-5 + -8x) -30 + -57x = (-5 * 7 + -8x * 7) -30 + -57x = (-35 + -56x) Solving -30 + -57x = -35 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. -30 + -57x + 56x = -35 + -56x + 56x Combine like terms: -57x + 56x = -1x -30 + -1x = -35 + -56x + 56x Combine like terms: -56x + 56x = 0 -30 + -1x = -35 + 0 -30 + -1x = -35 Add '30' to each side of the equation. -30 + 30 + -1x = -35 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = -35 + 30 -1x = -35 + 30 Combine like terms: -35 + 30 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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