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Simplifying 0.5(x + 5) + -10 = -4 Reorder the terms: 0.5(5 + x) + -10 = -4 (5 * 0.5 + x * 0.5) + -10 = -4 (2.5 + 0.5x) + -10 = -4 Reorder the terms: 2.5 + -10 + 0.5x = -4 Combine like terms: 2.5 + -10 = -7.5 -7.5 + 0.5x = -4 Solving -7.5 + 0.5x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.5' to each side of the equation. -7.5 + 7.5 + 0.5x = -4 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 0.5x = -4 + 7.5 0.5x = -4 + 7.5 Combine like terms: -4 + 7.5 = 3.5 0.5x = 3.5 Divide each side by '0.5'. x = 7 Simplifying x = 7
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