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Simplifying 0.75(8x + -4) + 0.5(6x + 4) = 0 Reorder the terms: 0.75(-4 + 8x) + 0.5(6x + 4) = 0 (-4 * 0.75 + 8x * 0.75) + 0.5(6x + 4) = 0 (-3 + 6x) + 0.5(6x + 4) = 0 Reorder the terms: -3 + 6x + 0.5(4 + 6x) = 0 -3 + 6x + (4 * 0.5 + 6x * 0.5) = 0 -3 + 6x + (2 + 3x) = 0 Reorder the terms: -3 + 2 + 6x + 3x = 0 Combine like terms: -3 + 2 = -1 -1 + 6x + 3x = 0 Combine like terms: 6x + 3x = 9x -1 + 9x = 0 Solving -1 + 9x = 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 + 9x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 9x = 0 + 1 9x = 0 + 1 Combine like terms: 0 + 1 = 1 9x = 1 Divide each side by '9'. x = 0.1111111111 Simplifying x = 0.1111111111
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