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Simplifying 4(2x + -4) + -3(7x + 2) = 0 Reorder the terms: 4(-4 + 2x) + -3(7x + 2) = 0 (-4 * 4 + 2x * 4) + -3(7x + 2) = 0 (-16 + 8x) + -3(7x + 2) = 0 Reorder the terms: -16 + 8x + -3(2 + 7x) = 0 -16 + 8x + (2 * -3 + 7x * -3) = 0 -16 + 8x + (-6 + -21x) = 0 Reorder the terms: -16 + -6 + 8x + -21x = 0 Combine like terms: -16 + -6 = -22 -22 + 8x + -21x = 0 Combine like terms: 8x + -21x = -13x -22 + -13x = 0 Solving -22 + -13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -13x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -13x = 0 + 22 -13x = 0 + 22 Combine like terms: 0 + 22 = 22 -13x = 22 Divide each side by '-13'. x = -1.692307692 Simplifying x = -1.692307692
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