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Simplifying 0.5(4x + -4) = 9 + -6x Reorder the terms: 0.5(-4 + 4x) = 9 + -6x (-4 * 0.5 + 4x * 0.5) = 9 + -6x (-2 + 2x) = 9 + -6x Solving -2 + 2x = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + 2x + 6x = 9 + -6x + 6x Combine like terms: 2x + 6x = 8x -2 + 8x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 8x = 9 + 0 -2 + 8x = 9 Add '2' to each side of the equation. -2 + 2 + 8x = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 9 + 2 8x = 9 + 2 Combine like terms: 9 + 2 = 11 8x = 11 Divide each side by '8'. x = 1.375 Simplifying x = 1.375
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