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Simplifying 8(2x + -4) + -6(8x + 1) = 0 Reorder the terms: 8(-4 + 2x) + -6(8x + 1) = 0 (-4 * 8 + 2x * 8) + -6(8x + 1) = 0 (-32 + 16x) + -6(8x + 1) = 0 Reorder the terms: -32 + 16x + -6(1 + 8x) = 0 -32 + 16x + (1 * -6 + 8x * -6) = 0 -32 + 16x + (-6 + -48x) = 0 Reorder the terms: -32 + -6 + 16x + -48x = 0 Combine like terms: -32 + -6 = -38 -38 + 16x + -48x = 0 Combine like terms: 16x + -48x = -32x -38 + -32x = 0 Solving -38 + -32x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -32x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -32x = 0 + 38 -32x = 0 + 38 Combine like terms: 0 + 38 = 38 -32x = 38 Divide each side by '-32'. x = -1.1875 Simplifying x = -1.1875
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