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Simplifying 0.2(x + -6) = 0.3x + 5 + -3 + 0.1x Reorder the terms: 0.2(-6 + x) = 0.3x + 5 + -3 + 0.1x (-6 * 0.2 + x * 0.2) = 0.3x + 5 + -3 + 0.1x (-1.2 + 0.2x) = 0.3x + 5 + -3 + 0.1x Reorder the terms: -1.2 + 0.2x = 5 + -3 + 0.3x + 0.1x Combine like terms: 5 + -3 = 2 -1.2 + 0.2x = 2 + 0.3x + 0.1x Combine like terms: 0.3x + 0.1x = 0.4x -1.2 + 0.2x = 2 + 0.4x Solving -1.2 + 0.2x = 2 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -1.2 + 0.2x + -0.4x = 2 + 0.4x + -0.4x Combine like terms: 0.2x + -0.4x = -0.2x -1.2 + -0.2x = 2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -1.2 + -0.2x = 2 + 0.0 -1.2 + -0.2x = 2 Add '1.2' to each side of the equation. -1.2 + 1.2 + -0.2x = 2 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -0.2x = 2 + 1.2 -0.2x = 2 + 1.2 Combine like terms: 2 + 1.2 = 3.2 -0.2x = 3.2 Divide each side by '-0.2'. x = -16 Simplifying x = -16
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