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Simplifying 6.5(x + -4) = -0.5x + 30 Reorder the terms: 6.5(-4 + x) = -0.5x + 30 (-4 * 6.5 + x * 6.5) = -0.5x + 30 (-26 + 6.5x) = -0.5x + 30 Reorder the terms: -26 + 6.5x = 30 + -0.5x Solving -26 + 6.5x = 30 + -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 = 30 + -0.5x + 0.5x Combine like terms: 6.5x + 0.5x = 7x -26 + 7x = 30 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -26 + 7x = 30 + 0.0 -26 + 7x = 30 Add '26' to each side of the equation. -26 + 26 + 7x = 30 + 26 Combine like terms: -26 + 26 = 0 0 + 7x = 30 + 26 7x = 30 + 26 Combine like terms: 30 + 26 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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