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Simplifying 0.3(6 + -1x) + 0.4(x + 8) = 0 (6 * 0.3 + -1x * 0.3) + 0.4(x + 8) = 0 (1.8 + -0.3x) + 0.4(x + 8) = 0 Reorder the terms: 1.8 + -0.3x + 0.4(8 + x) = 0 1.8 + -0.3x + (8 * 0.4 + x * 0.4) = 0 1.8 + -0.3x + (3.2 + 0.4x) = 0 Reorder the terms: 1.8 + 3.2 + -0.3x + 0.4x = 0 Combine like terms: 1.8 + 3.2 = 5 5 + -0.3x + 0.4x = 0 Combine like terms: -0.3x + 0.4x = 0.1x 5 + 0.1x = 0 Solving 5 + 0.1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 0.1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 0.1x = 0 + -5 0.1x = 0 + -5 Combine like terms: 0 + -5 = -5 0.1x = -5 Divide each side by '0.1'. x = -50 Simplifying x = -50
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