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Simplifying 5(7x + -8) + -6(12x + -4) = 0 Reorder the terms: 5(-8 + 7x) + -6(12x + -4) = 0 (-8 * 5 + 7x * 5) + -6(12x + -4) = 0 (-40 + 35x) + -6(12x + -4) = 0 Reorder the terms: -40 + 35x + -6(-4 + 12x) = 0 -40 + 35x + (-4 * -6 + 12x * -6) = 0 -40 + 35x + (24 + -72x) = 0 Reorder the terms: -40 + 24 + 35x + -72x = 0 Combine like terms: -40 + 24 = -16 -16 + 35x + -72x = 0 Combine like terms: 35x + -72x = -37x -16 + -37x = 0 Solving -16 + -37x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -37x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -37x = 0 + 16 -37x = 0 + 16 Combine like terms: 0 + 16 = 16 -37x = 16 Divide each side by '-37'. x = -0.4324324324 Simplifying x = -0.4324324324
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