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Simplifying 0.4(X + -3) + -0.6(X + 3) = -0.2(x + 3) Reorder the terms: 0.4(-3 + X) + -0.6(X + 3) = -0.2(x + 3) (-3 * 0.4 + X * 0.4) + -0.6(X + 3) = -0.2(x + 3) (-1.2 + 0.4X) + -0.6(X + 3) = -0.2(x + 3) Reorder the terms: -1.2 + 0.4X + -0.6(3 + X) = -0.2(x + 3) -1.2 + 0.4X + (3 * -0.6 + X * -0.6) = -0.2(x + 3) -1.2 + 0.4X + (-1.8 + -0.6X) = -0.2(x + 3) Reorder the terms: -1.2 + -1.8 + 0.4X + -0.6X = -0.2(x + 3) Combine like terms: -1.2 + -1.8 = -3 -3 + 0.4X + -0.6X = -0.2(x + 3) Combine like terms: 0.4X + -0.6X = -0.2X -3 + -0.2X = -0.2(x + 3) Reorder the terms: -3 + -0.2X = -0.2(3 + x) -3 + -0.2X = (3 * -0.2 + x * -0.2) -3 + -0.2X = (-0.6 + -0.2x) Solving -3 + -0.2X = -0.6 + -0.2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -0.2X = -0.6 + 3 + -0.2x Combine like terms: -3 + 3 = 0 0 + -0.2X = -0.6 + 3 + -0.2x -0.2X = -0.6 + 3 + -0.2x Combine like terms: -0.6 + 3 = 2.4 -0.2X = 2.4 + -0.2x Divide each side by '-0.2'. X = -12 + x Simplifying X = -12 + x
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