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Simplifying 7(2x + -6) + -4(5x + -8) = 0 Reorder the terms: 7(-6 + 2x) + -4(5x + -8) = 0 (-6 * 7 + 2x * 7) + -4(5x + -8) = 0 (-42 + 14x) + -4(5x + -8) = 0 Reorder the terms: -42 + 14x + -4(-8 + 5x) = 0 -42 + 14x + (-8 * -4 + 5x * -4) = 0 -42 + 14x + (32 + -20x) = 0 Reorder the terms: -42 + 32 + 14x + -20x = 0 Combine like terms: -42 + 32 = -10 -10 + 14x + -20x = 0 Combine like terms: 14x + -20x = -6x -10 + -6x = 0 Solving -10 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -6x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = 0 + 10 -6x = 0 + 10 Combine like terms: 0 + 10 = 10 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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