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Simplifying 0.5(x + 2) = 0.45x + -6.5 Reorder the terms: 0.5(2 + x) = 0.45x + -6.5 (2 * 0.5 + x * 0.5) = 0.45x + -6.5 (1 + 0.5x) = 0.45x + -6.5 Reorder the terms: 1 + 0.5x = -6.5 + 0.45x Solving 1 + 0.5x = -6.5 + 0.45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.45x' to each side of the equation. 1 + 0.5x + -0.45x = -6.5 + 0.45x + -0.45x Combine like terms: 0.5x + -0.45x = 0.05x 1 + 0.05x = -6.5 + 0.45x + -0.45x Combine like terms: 0.45x + -0.45x = 0.00 1 + 0.05x = -6.5 + 0.00 1 + 0.05x = -6.5 Add '-1' to each side of the equation. 1 + -1 + 0.05x = -6.5 + -1 Combine like terms: 1 + -1 = 0 0 + 0.05x = -6.5 + -1 0.05x = -6.5 + -1 Combine like terms: -6.5 + -1 = -7.5 0.05x = -7.5 Divide each side by '0.05'. x = -150 Simplifying x = -150
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