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Simplifying 4(4x + -2) + -5(3x + -1) = 0 Reorder the terms: 4(-2 + 4x) + -5(3x + -1) = 0 (-2 * 4 + 4x * 4) + -5(3x + -1) = 0 (-8 + 16x) + -5(3x + -1) = 0 Reorder the terms: -8 + 16x + -5(-1 + 3x) = 0 -8 + 16x + (-1 * -5 + 3x * -5) = 0 -8 + 16x + (5 + -15x) = 0 Reorder the terms: -8 + 5 + 16x + -15x = 0 Combine like terms: -8 + 5 = -3 -3 + 16x + -15x = 0 Combine like terms: 16x + -15x = 1x -3 + 1x = 0 Solving -3 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 0 + 3 1x = 0 + 3 Combine like terms: 0 + 3 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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