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Simplifying 0.5(2x + 5) = -2x Reorder the terms: 0.5(5 + 2x) = -2x (5 * 0.5 + 2x * 0.5) = -2x (2.5 + 1x) = -2x Solving 2.5 + 1x = -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. 2.5 + 1x + 2x = -2x + 2x Combine like terms: 1x + 2x = 3x 2.5 + 3x = -2x + 2x Combine like terms: -2x + 2x = 0 2.5 + 3x = 0 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 3x = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 3x = 0 + -2.5 3x = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 3x = -2.5 Divide each side by '3'. x = -0.8333333333 Simplifying x = -0.8333333333
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