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Simplifying 2(5x + -3) = 0.5(x + 4) Reorder the terms: 2(-3 + 5x) = 0.5(x + 4) (-3 * 2 + 5x * 2) = 0.5(x + 4) (-6 + 10x) = 0.5(x + 4) Reorder the terms: -6 + 10x = 0.5(4 + x) -6 + 10x = (4 * 0.5 + x * 0.5) -6 + 10x = (2 + 0.5x) Solving -6 + 10x = 2 + 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 + 10x + -0.5x = 2 + 0.5x + -0.5x Combine like terms: 10x + -0.5x = 9.5x -6 + 9.5x = 2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -6 + 9.5x = 2 + 0.0 -6 + 9.5x = 2 Add '6' to each side of the equation. -6 + 6 + 9.5x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 9.5x = 2 + 6 9.5x = 2 + 6 Combine like terms: 2 + 6 = 8 9.5x = 8 Divide each side by '9.5'. x = 0.8421052632 Simplifying x = 0.8421052632
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