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Simplifying 0.5(8x + -43 + 10) = 2x Reorder the terms: 0.5(-43 + 10 + 8x) = 2x Combine like terms: -43 + 10 = -33 0.5(-33 + 8x) = 2x (-33 * 0.5 + 8x * 0.5) = 2x (-16.5 + 4x) = 2x Solving -16.5 + 4x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -16.5 + 4x + -2x = 2x + -2x Combine like terms: 4x + -2x = 2x -16.5 + 2x = 2x + -2x Combine like terms: 2x + -2x = 0 -16.5 + 2x = 0 Add '16.5' to each side of the equation. -16.5 + 16.5 + 2x = 0 + 16.5 Combine like terms: -16.5 + 16.5 = 0.0 0.0 + 2x = 0 + 16.5 2x = 0 + 16.5 Combine like terms: 0 + 16.5 = 16.5 2x = 16.5 Divide each side by '2'. x = 8.25 Simplifying x = 8.25
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