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Simplifying 5(x + -2) = 0.5(x + 7) Reorder the terms: 5(-2 + x) = 0.5(x + 7) (-2 * 5 + x * 5) = 0.5(x + 7) (-10 + 5x) = 0.5(x + 7) Reorder the terms: -10 + 5x = 0.5(7 + x) -10 + 5x = (7 * 0.5 + x * 0.5) -10 + 5x = (3.5 + 0.5x) Solving -10 + 5x = 3.5 + 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. -10 + 5x + -0.5x = 3.5 + 0.5x + -0.5x Combine like terms: 5x + -0.5x = 4.5x -10 + 4.5x = 3.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -10 + 4.5x = 3.5 + 0.0 -10 + 4.5x = 3.5 Add '10' to each side of the equation. -10 + 10 + 4.5x = 3.5 + 10 Combine like terms: -10 + 10 = 0 0 + 4.5x = 3.5 + 10 4.5x = 3.5 + 10 Combine like terms: 3.5 + 10 = 13.5 4.5x = 13.5 Divide each side by '4.5'. x = 3 Simplifying x = 3
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