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Simplifying 6.5(x + -4) = 0.5x + 7 Reorder the terms: 6.5(-4 + x) = 0.5x + 7 (-4 * 6.5 + x * 6.5) = 0.5x + 7 (-26 + 6.5x) = 0.5x + 7 Reorder the terms: -26 + 6.5x = 7 + 0.5x Solving -26 + 6.5x = 7 + 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 = 7 + 0.5x + -0.5x Combine like terms: 6.5x + -0.5x = 6x -26 + 6x = 7 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -26 + 6x = 7 + 0.0 -26 + 6x = 7 Add '26' to each side of the equation. -26 + 26 + 6x = 7 + 26 Combine like terms: -26 + 26 = 0 0 + 6x = 7 + 26 6x = 7 + 26 Combine like terms: 7 + 26 = 33 6x = 33 Divide each side by '6'. x = 5.5 Simplifying x = 5.5
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