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Simplifying 0.5(3x + 0.29) = -0.8 Reorder the terms: 0.5(0.29 + 3x) = -0.8 (0.29 * 0.5 + 3x * 0.5) = -0.8 (0.145 + 1.5x) = -0.8 Solving 0.145 + 1.5x = -0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.145' to each side of the equation. 0.145 + -0.145 + 1.5x = -0.8 + -0.145 Combine like terms: 0.145 + -0.145 = 0.000 0.000 + 1.5x = -0.8 + -0.145 1.5x = -0.8 + -0.145 Combine like terms: -0.8 + -0.145 = -0.945 1.5x = -0.945 Divide each side by '1.5'. x = -0.63 Simplifying x = -0.63
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