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Simplifying 0.8(4x + 8) = 0.3x + -0.2 Reorder the terms: 0.8(8 + 4x) = 0.3x + -0.2 (8 * 0.8 + 4x * 0.8) = 0.3x + -0.2 (6.4 + 3.2x) = 0.3x + -0.2 Reorder the terms: 6.4 + 3.2x = -0.2 + 0.3x Solving 6.4 + 3.2x = -0.2 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 6.4 + 3.2x + -0.3x = -0.2 + 0.3x + -0.3x Combine like terms: 3.2x + -0.3x = 2.9x 6.4 + 2.9x = -0.2 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 6.4 + 2.9x = -0.2 + 0.0 6.4 + 2.9x = -0.2 Add '-6.4' to each side of the equation. 6.4 + -6.4 + 2.9x = -0.2 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + 2.9x = -0.2 + -6.4 2.9x = -0.2 + -6.4 Combine like terms: -0.2 + -6.4 = -6.6 2.9x = -6.6 Divide each side by '2.9'. x = -2.275862069 Simplifying x = -2.275862069
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