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Simplifying -6(7x + 4) + 5(6x + -8) = 32 Reorder the terms: -6(4 + 7x) + 5(6x + -8) = 32 (4 * -6 + 7x * -6) + 5(6x + -8) = 32 (-24 + -42x) + 5(6x + -8) = 32 Reorder the terms: -24 + -42x + 5(-8 + 6x) = 32 -24 + -42x + (-8 * 5 + 6x * 5) = 32 -24 + -42x + (-40 + 30x) = 32 Reorder the terms: -24 + -40 + -42x + 30x = 32 Combine like terms: -24 + -40 = -64 -64 + -42x + 30x = 32 Combine like terms: -42x + 30x = -12x -64 + -12x = 32 Solving -64 + -12x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -12x = 32 + 64 Combine like terms: -64 + 64 = 0 0 + -12x = 32 + 64 -12x = 32 + 64 Combine like terms: 32 + 64 = 96 -12x = 96 Divide each side by '-12'. x = -8 Simplifying x = -8
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