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Simplifying 2[4.5(x + -2) + -0.5x] = x Reorder the terms: 2[4.5(-2 + x) + -0.5x] = x 2[(-2 * 4.5 + x * 4.5) + -0.5x] = x 2[(-9 + 4.5x) + -0.5x] = x Combine like terms: 4.5x + -0.5x = 4x 2[-9 + 4x] = x [-9 * 2 + 4x * 2] = x [-18 + 8x] = x Solving -18 + 8x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + 8x + -1x = x + -1x Combine like terms: 8x + -1x = 7x -18 + 7x = x + -1x Combine like terms: x + -1x = 0 -18 + 7x = 0 Add '18' to each side of the equation. -18 + 18 + 7x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = 0 + 18 7x = 0 + 18 Combine like terms: 0 + 18 = 18 7x = 18 Divide each side by '7'. x = 2.571428571 Simplifying x = 2.571428571
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