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Simplifying -0.5(x + 8) = 3x + 17 Reorder the terms: -0.5(8 + x) = 3x + 17 (8 * -0.5 + x * -0.5) = 3x + 17 (-4 + -0.5x) = 3x + 17 Reorder the terms: -4 + -0.5x = 17 + 3x Solving -4 + -0.5x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + -0.5x + -3x = 17 + 3x + -3x Combine like terms: -0.5x + -3x = -3.5x -4 + -3.5x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -3.5x = 17 + 0 -4 + -3.5x = 17 Add '4' to each side of the equation. -4 + 4 + -3.5x = 17 + 4 Combine like terms: -4 + 4 = 0 0 + -3.5x = 17 + 4 -3.5x = 17 + 4 Combine like terms: 17 + 4 = 21 -3.5x = 21 Divide each side by '-3.5'. x = -6 Simplifying x = -6
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