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Simplifying 6.5(x + -2) = 0.5x + 36 Reorder the terms: 6.5(-2 + x) = 0.5x + 36 (-2 * 6.5 + x * 6.5) = 0.5x + 36 (-13 + 6.5x) = 0.5x + 36 Reorder the terms: -13 + 6.5x = 36 + 0.5x Solving -13 + 6.5x = 36 + 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. -13 + 6.5x + -0.5x = 36 + 0.5x + -0.5x Combine like terms: 6.5x + -0.5x = 6x -13 + 6x = 36 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -13 + 6x = 36 + 0.0 -13 + 6x = 36 Add '13' to each side of the equation. -13 + 13 + 6x = 36 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = 36 + 13 6x = 36 + 13 Combine like terms: 36 + 13 = 49 6x = 49 Divide each side by '6'. x = 8.166666667 Simplifying x = 8.166666667
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