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Simplifying 0.2(x + 2) + -0.04(x + 2) = 0 Reorder the terms: 0.2(2 + x) + -0.04(x + 2) = 0 (2 * 0.2 + x * 0.2) + -0.04(x + 2) = 0 (0.4 + 0.2x) + -0.04(x + 2) = 0 Reorder the terms: 0.4 + 0.2x + -0.04(2 + x) = 0 0.4 + 0.2x + (2 * -0.04 + x * -0.04) = 0 0.4 + 0.2x + (-0.08 + -0.04x) = 0 Reorder the terms: 0.4 + -0.08 + 0.2x + -0.04x = 0 Combine like terms: 0.4 + -0.08 = 0.32 0.32 + 0.2x + -0.04x = 0 Combine like terms: 0.2x + -0.04x = 0.16x 0.32 + 0.16x = 0 Solving 0.32 + 0.16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.32' to each side of the equation. 0.32 + -0.32 + 0.16x = 0 + -0.32 Combine like terms: 0.32 + -0.32 = 0.00 0.00 + 0.16x = 0 + -0.32 0.16x = 0 + -0.32 Combine like terms: 0 + -0.32 = -0.32 0.16x = -0.32 Divide each side by '0.16'. x = -2 Simplifying x = -2
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