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Simplifying 0.5(x + 8) + 1.25X = 10x Reorder the terms: 0.5(8 + x) + 1.25X = 10x (8 * 0.5 + x * 0.5) + 1.25X = 10x (4 + 0.5x) + 1.25X = 10x Reorder the terms: 4 + 1.25X + 0.5x = 10x Solving 4 + 1.25X + 0.5x = 10x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 1.25X + -4 + 0.5x = -4 + 10x Reorder the terms: 4 + -4 + 1.25X + 0.5x = -4 + 10x Combine like terms: 4 + -4 = 0 0 + 1.25X + 0.5x = -4 + 10x 1.25X + 0.5x = -4 + 10x Add '-0.5x' to each side of the equation. 1.25X + 0.5x + -0.5x = -4 + 10x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.25X + 0.0 = -4 + 10x + -0.5x 1.25X = -4 + 10x + -0.5x Combine like terms: 10x + -0.5x = 9.5x 1.25X = -4 + 9.5x Divide each side by '1.25'. X = -3.2 + 7.6x Simplifying X = -3.2 + 7.6x
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