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Simplifying 0.4(-3.6 + -0.5x) + 0.8(1.9 + x) = 0 (-3.6 * 0.4 + -0.5x * 0.4) + 0.8(1.9 + x) = 0 (-1.44 + -0.2x) + 0.8(1.9 + x) = 0 -1.44 + -0.2x + (1.9 * 0.8 + x * 0.8) = 0 -1.44 + -0.2x + (1.52 + 0.8x) = 0 Reorder the terms: -1.44 + 1.52 + -0.2x + 0.8x = 0 Combine like terms: -1.44 + 1.52 = 0.08 0.08 + -0.2x + 0.8x = 0 Combine like terms: -0.2x + 0.8x = 0.6x 0.08 + 0.6x = 0 Solving 0.08 + 0.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08' to each side of the equation. 0.08 + -0.08 + 0.6x = 0 + -0.08 Combine like terms: 0.08 + -0.08 = 0.00 0.00 + 0.6x = 0 + -0.08 0.6x = 0 + -0.08 Combine like terms: 0 + -0.08 = -0.08 0.6x = -0.08 Divide each side by '0.6'. x = -0.1333333333 Simplifying x = -0.1333333333
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