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Simplifying 6.5(x + -4) = 0.5x + 16 Reorder the terms: 6.5(-4 + x) = 0.5x + 16 (-4 * 6.5 + x * 6.5) = 0.5x + 16 (-26 + 6.5x) = 0.5x + 16 Reorder the terms: -26 + 6.5x = 16 + 0.5x Solving -26 + 6.5x = 16 + 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. -26 + 6.5x + -0.5x = 16 + 0.5x + -0.5x Combine like terms: 6.5x + -0.5x = 6x -26 + 6x = 16 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -26 + 6x = 16 + 0.0 -26 + 6x = 16 Add '26' to each side of the equation. -26 + 26 + 6x = 16 + 26 Combine like terms: -26 + 26 = 0 0 + 6x = 16 + 26 6x = 16 + 26 Combine like terms: 16 + 26 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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