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Simplifying 0.4x + -0.1 = 0.9 + -0.3(6 + -2x) Reorder the terms: -0.1 + 0.4x = 0.9 + -0.3(6 + -2x) -0.1 + 0.4x = 0.9 + (6 * -0.3 + -2x * -0.3) -0.1 + 0.4x = 0.9 + (-1.8 + 0.6x) Combine like terms: 0.9 + -1.8 = -0.9 -0.1 + 0.4x = -0.9 + 0.6x Solving -0.1 + 0.4x = -0.9 + 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 = -0.9 + 0.6x + -0.6x Combine like terms: 0.4x + -0.6x = -0.2x -0.1 + -0.2x = -0.9 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -0.1 + -0.2x = -0.9 + 0.0 -0.1 + -0.2x = -0.9 Add '0.1' to each side of the equation. -0.1 + 0.1 + -0.2x = -0.9 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + -0.2x = -0.9 + 0.1 -0.2x = -0.9 + 0.1 Combine like terms: -0.9 + 0.1 = -0.8 -0.2x = -0.8 Divide each side by '-0.2'. x = 4 Simplifying x = 4
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