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Simplifying 0.3(X + 3) + -0.6(x + 3) = -0.3x + -0.9 Reorder the terms: 0.3(3 + X) + -0.6(x + 3) = -0.3x + -0.9 (3 * 0.3 + X * 0.3) + -0.6(x + 3) = -0.3x + -0.9 (0.9 + 0.3X) + -0.6(x + 3) = -0.3x + -0.9 Reorder the terms: 0.9 + 0.3X + -0.6(3 + x) = -0.3x + -0.9 0.9 + 0.3X + (3 * -0.6 + x * -0.6) = -0.3x + -0.9 0.9 + 0.3X + (-1.8 + -0.6x) = -0.3x + -0.9 Reorder the terms: 0.9 + -1.8 + 0.3X + -0.6x = -0.3x + -0.9 Combine like terms: 0.9 + -1.8 = -0.9 -0.9 + 0.3X + -0.6x = -0.3x + -0.9 Reorder the terms: -0.9 + 0.3X + -0.6x = -0.9 + -0.3x Add '0.9' to each side of the equation. -0.9 + 0.3X + 0.9 + -0.6x = -0.9 + 0.9 + -0.3x Reorder the terms: -0.9 + 0.9 + 0.3X + -0.6x = -0.9 + 0.9 + -0.3x Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.3X + -0.6x = -0.9 + 0.9 + -0.3x 0.3X + -0.6x = -0.9 + 0.9 + -0.3x Combine like terms: -0.9 + 0.9 = 0.0 0.3X + -0.6x = 0.0 + -0.3x 0.3X + -0.6x = -0.3x Solving 0.3X + -0.6x = -0.3x 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. 0.3X + -0.6x + 0.6x = -0.3x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 0.3X + 0.0 = -0.3x + 0.6x 0.3X = -0.3x + 0.6x Combine like terms: -0.3x + 0.6x = 0.3x 0.3X = 0.3x Divide each side by '0.3'. X = x Simplifying X = x
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