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Simplifying 8(2x + -3) + -4(7x + 4) = 0 Reorder the terms: 8(-3 + 2x) + -4(7x + 4) = 0 (-3 * 8 + 2x * 8) + -4(7x + 4) = 0 (-24 + 16x) + -4(7x + 4) = 0 Reorder the terms: -24 + 16x + -4(4 + 7x) = 0 -24 + 16x + (4 * -4 + 7x * -4) = 0 -24 + 16x + (-16 + -28x) = 0 Reorder the terms: -24 + -16 + 16x + -28x = 0 Combine like terms: -24 + -16 = -40 -40 + 16x + -28x = 0 Combine like terms: 16x + -28x = -12x -40 + -12x = 0 Solving -40 + -12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -12x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -12x = 0 + 40 -12x = 0 + 40 Combine like terms: 0 + 40 = 40 -12x = 40 Divide each side by '-12'. x = -3.333333333 Simplifying x = -3.333333333
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