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Simplifying 6.5(x + -1) = -0.5x + 28.5 Reorder the terms: 6.5(-1 + x) = -0.5x + 28.5 (-1 * 6.5 + x * 6.5) = -0.5x + 28.5 (-6.5 + 6.5x) = -0.5x + 28.5 Reorder the terms: -6.5 + 6.5x = 28.5 + -0.5x Solving -6.5 + 6.5x = 28.5 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -6.5 + 6.5x + 0.5x = 28.5 + -0.5x + 0.5x Combine like terms: 6.5x + 0.5x = 7x -6.5 + 7x = 28.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -6.5 + 7x = 28.5 + 0.0 -6.5 + 7x = 28.5 Add '6.5' to each side of the equation. -6.5 + 6.5 + 7x = 28.5 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + 7x = 28.5 + 6.5 7x = 28.5 + 6.5 Combine like terms: 28.5 + 6.5 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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