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Simplifying 4(x + -0.3) + 0.4(x + 2) = 0.2(x + 2) Reorder the terms: 4(-0.3 + x) + 0.4(x + 2) = 0.2(x + 2) (-0.3 * 4 + x * 4) + 0.4(x + 2) = 0.2(x + 2) (-1.2 + 4x) + 0.4(x + 2) = 0.2(x + 2) Reorder the terms: -1.2 + 4x + 0.4(2 + x) = 0.2(x + 2) -1.2 + 4x + (2 * 0.4 + x * 0.4) = 0.2(x + 2) -1.2 + 4x + (0.8 + 0.4x) = 0.2(x + 2) Reorder the terms: -1.2 + 0.8 + 4x + 0.4x = 0.2(x + 2) Combine like terms: -1.2 + 0.8 = -0.4 -0.4 + 4x + 0.4x = 0.2(x + 2) Combine like terms: 4x + 0.4x = 4.4x -0.4 + 4.4x = 0.2(x + 2) Reorder the terms: -0.4 + 4.4x = 0.2(2 + x) -0.4 + 4.4x = (2 * 0.2 + x * 0.2) -0.4 + 4.4x = (0.4 + 0.2x) Solving -0.4 + 4.4x = 0.4 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -0.4 + 4.4x + -0.2x = 0.4 + 0.2x + -0.2x Combine like terms: 4.4x + -0.2x = 4.2x -0.4 + 4.2x = 0.4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.4 + 4.2x = 0.4 + 0.0 -0.4 + 4.2x = 0.4 Add '0.4' to each side of the equation. -0.4 + 0.4 + 4.2x = 0.4 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 4.2x = 0.4 + 0.4 4.2x = 0.4 + 0.4 Combine like terms: 0.4 + 0.4 = 0.8 4.2x = 0.8 Divide each side by '4.2'. x = 0.1904761905 Simplifying x = 0.1904761905
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