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Simplifying 0.5(x + -10) = 17 + 6x Reorder the terms: 0.5(-10 + x) = 17 + 6x (-10 * 0.5 + x * 0.5) = 17 + 6x (-5 + 0.5x) = 17 + 6x Solving -5 + 0.5x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 0.5x + -6x = 17 + 6x + -6x Combine like terms: 0.5x + -6x = -5.5x -5 + -5.5x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -5.5x = 17 + 0 -5 + -5.5x = 17 Add '5' to each side of the equation. -5 + 5 + -5.5x = 17 + 5 Combine like terms: -5 + 5 = 0 0 + -5.5x = 17 + 5 -5.5x = 17 + 5 Combine like terms: 17 + 5 = 22 -5.5x = 22 Divide each side by '-5.5'. x = -4 Simplifying x = -4
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