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Simplifying 4(2x + -4) + -7(x + -2) = 0 Reorder the terms: 4(-4 + 2x) + -7(x + -2) = 0 (-4 * 4 + 2x * 4) + -7(x + -2) = 0 (-16 + 8x) + -7(x + -2) = 0 Reorder the terms: -16 + 8x + -7(-2 + x) = 0 -16 + 8x + (-2 * -7 + x * -7) = 0 -16 + 8x + (14 + -7x) = 0 Reorder the terms: -16 + 14 + 8x + -7x = 0 Combine like terms: -16 + 14 = -2 -2 + 8x + -7x = 0 Combine like terms: 8x + -7x = 1x -2 + 1x = 0 Solving -2 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 0 + 2 1x = 0 + 2 Combine like terms: 0 + 2 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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