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Simplifying 0.50(x + -1) = 2(x + 5) Reorder the terms: 0.50(-1 + x) = 2(x + 5) (-1 * 0.50 + x * 0.50) = 2(x + 5) (-0.5 + 0.50x) = 2(x + 5) Reorder the terms: -0.5 + 0.50x = 2(5 + x) -0.5 + 0.50x = (5 * 2 + x * 2) -0.5 + 0.50x = (10 + 2x) Solving -0.5 + 0.50x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -0.5 + 0.50x + -2x = 10 + 2x + -2x Combine like terms: 0.50x + -2x = -1.5x -0.5 + -1.5x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -0.5 + -1.5x = 10 + 0 -0.5 + -1.5x = 10 Add '0.5' to each side of the equation. -0.5 + 0.5 + -1.5x = 10 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -1.5x = 10 + 0.5 -1.5x = 10 + 0.5 Combine like terms: 10 + 0.5 = 10.5 -1.5x = 10.5 Divide each side by '-1.5'. x = -7 Simplifying x = -7
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