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Simplifying 8(3x + -4) + 2(4x + -5) = 0 Reorder the terms: 8(-4 + 3x) + 2(4x + -5) = 0 (-4 * 8 + 3x * 8) + 2(4x + -5) = 0 (-32 + 24x) + 2(4x + -5) = 0 Reorder the terms: -32 + 24x + 2(-5 + 4x) = 0 -32 + 24x + (-5 * 2 + 4x * 2) = 0 -32 + 24x + (-10 + 8x) = 0 Reorder the terms: -32 + -10 + 24x + 8x = 0 Combine like terms: -32 + -10 = -42 -42 + 24x + 8x = 0 Combine like terms: 24x + 8x = 32x -42 + 32x = 0 Solving -42 + 32x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 32x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 32x = 0 + 42 32x = 0 + 42 Combine like terms: 0 + 42 = 42 32x = 42 Divide each side by '32'. x = 1.3125 Simplifying x = 1.3125
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