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Simplifying -0.2 + -1(0.4x + -0.3) = 1.8 + -0.6x Reorder the terms: -0.2 + -1(-0.3 + 0.4x) = 1.8 + -0.6x -0.2 + (-0.3 * -1 + 0.4x * -1) = 1.8 + -0.6x -0.2 + (0.3 + -0.4x) = 1.8 + -0.6x Combine like terms: -0.2 + 0.3 = 0.1 0.1 + -0.4x = 1.8 + -0.6x Solving 0.1 + -0.4x = 1.8 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. 0.1 + -0.4x + 0.6x = 1.8 + -0.6x + 0.6x Combine like terms: -0.4x + 0.6x = 0.2x 0.1 + 0.2x = 1.8 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 0.1 + 0.2x = 1.8 + 0.0 0.1 + 0.2x = 1.8 Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.2x = 1.8 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.2x = 1.8 + -0.1 0.2x = 1.8 + -0.1 Combine like terms: 1.8 + -0.1 = 1.7 0.2x = 1.7 Divide each side by '0.2'. x = 8.5 Simplifying x = 8.5
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