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Simplifying 0.4(x + 5) + -0.1(2x + 6) = -0.6 Reorder the terms: 0.4(5 + x) + -0.1(2x + 6) = -0.6 (5 * 0.4 + x * 0.4) + -0.1(2x + 6) = -0.6 (2 + 0.4x) + -0.1(2x + 6) = -0.6 Reorder the terms: 2 + 0.4x + -0.1(6 + 2x) = -0.6 2 + 0.4x + (6 * -0.1 + 2x * -0.1) = -0.6 2 + 0.4x + (-0.6 + -0.2x) = -0.6 Reorder the terms: 2 + -0.6 + 0.4x + -0.2x = -0.6 Combine like terms: 2 + -0.6 = 1.4 1.4 + 0.4x + -0.2x = -0.6 Combine like terms: 0.4x + -0.2x = 0.2x 1.4 + 0.2x = -0.6 Solving 1.4 + 0.2x = -0.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1.4 + 0.2x = -0.6 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.2x = -0.6 + -1.4 0.2x = -0.6 + -1.4 Combine like terms: -0.6 + -1.4 = -2 0.2x = -2 Divide each side by '0.2'. x = -10 Simplifying x = -10
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