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Simplifying 2[4.5(x + -2) + -0.5x] = 0 Reorder the terms: 2[4.5(-2 + x) + -0.5x] = 0 2[(-2 * 4.5 + x * 4.5) + -0.5x] = 0 2[(-9 + 4.5x) + -0.5x] = 0 Combine like terms: 4.5x + -0.5x = 4x 2[-9 + 4x] = 0 [-9 * 2 + 4x * 2] = 0 [-18 + 8x] = 0 Solving -18 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 8x = 0 + 18 8x = 0 + 18 Combine like terms: 0 + 18 = 18 8x = 18 Divide each side by '8'. x = 2.25 Simplifying x = 2.25
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