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Simplifying 3(x + -2) = 0.4x + -3 + 0.1x + 4 Reorder the terms: 3(-2 + x) = 0.4x + -3 + 0.1x + 4 (-2 * 3 + x * 3) = 0.4x + -3 + 0.1x + 4 (-6 + 3x) = 0.4x + -3 + 0.1x + 4 Reorder the terms: -6 + 3x = -3 + 4 + 0.4x + 0.1x Combine like terms: -3 + 4 = 1 -6 + 3x = 1 + 0.4x + 0.1x Combine like terms: 0.4x + 0.1x = 0.5x -6 + 3x = 1 + 0.5x Solving -6 + 3x = 1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -6 + 3x + -0.5x = 1 + 0.5x + -0.5x Combine like terms: 3x + -0.5x = 2.5x -6 + 2.5x = 1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -6 + 2.5x = 1 + 0.0 -6 + 2.5x = 1 Add '6' to each side of the equation. -6 + 6 + 2.5x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 2.5x = 1 + 6 2.5x = 1 + 6 Combine like terms: 1 + 6 = 7 2.5x = 7 Divide each side by '2.5'. x = 2.8 Simplifying x = 2.8
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