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Simplifying 2(x + -4) + 0.5(2 + 8) * x = 0 Reorder the terms: 2(-4 + x) + 0.5(2 + 8) * x = 0 (-4 * 2 + x * 2) + 0.5(2 + 8) * x = 0 (-8 + 2x) + 0.5(2 + 8) * x = 0 Combine like terms: 2 + 8 = 10 -8 + 2x + 0.5(10) * x = 0 Multiply 0.5 * 10 -8 + 2x + 5x = 0 Combine like terms: 2x + 5x = 7x -8 + 7x = 0 Solving -8 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 0 + 8 7x = 0 + 8 Combine like terms: 0 + 8 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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