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Simplifying 3(4x + -5) + -4(x + -4) = 0 Reorder the terms: 3(-5 + 4x) + -4(x + -4) = 0 (-5 * 3 + 4x * 3) + -4(x + -4) = 0 (-15 + 12x) + -4(x + -4) = 0 Reorder the terms: -15 + 12x + -4(-4 + x) = 0 -15 + 12x + (-4 * -4 + x * -4) = 0 -15 + 12x + (16 + -4x) = 0 Reorder the terms: -15 + 16 + 12x + -4x = 0 Combine like terms: -15 + 16 = 1 1 + 12x + -4x = 0 Combine like terms: 12x + -4x = 8x 1 + 8x = 0 Solving 1 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125
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