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Simplifying 0.5(x + -2) + 0.4(x + 3) + -0.2 = 0 Reorder the terms: 0.5(-2 + x) + 0.4(x + 3) + -0.2 = 0 (-2 * 0.5 + x * 0.5) + 0.4(x + 3) + -0.2 = 0 (-1 + 0.5x) + 0.4(x + 3) + -0.2 = 0 Reorder the terms: -1 + 0.5x + 0.4(3 + x) + -0.2 = 0 -1 + 0.5x + (3 * 0.4 + x * 0.4) + -0.2 = 0 -1 + 0.5x + (1.2 + 0.4x) + -0.2 = 0 Reorder the terms: -1 + 1.2 + -0.2 + 0.5x + 0.4x = 0 Combine like terms: -1 + 1.2 = 0.2 0.2 + -0.2 + 0.5x + 0.4x = 0 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.5x + 0.4x = 0 0.5x + 0.4x = 0 Combine like terms: 0.5x + 0.4x = 0.9x 0.9x = 0 Solving 0.9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '0.9'. x = 0 Simplifying x = 0
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