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Simplifying 1.5 + 3(x + -2) + 4.5(X + 7) = 0 Reorder the terms: 1.5 + 3(-2 + x) + 4.5(X + 7) = 0 1.5 + (-2 * 3 + x * 3) + 4.5(X + 7) = 0 1.5 + (-6 + 3x) + 4.5(X + 7) = 0 Reorder the terms: 1.5 + -6 + 3x + 4.5(7 + X) = 0 1.5 + -6 + 3x + (7 * 4.5 + X * 4.5) = 0 1.5 + -6 + 3x + (31.5 + 4.5X) = 0 Reorder the terms: 1.5 + -6 + 31.5 + 4.5X + 3x = 0 Combine like terms: 1.5 + -6 = -4.5 -4.5 + 31.5 + 4.5X + 3x = 0 Combine like terms: -4.5 + 31.5 = 27 27 + 4.5X + 3x = 0 Solving 27 + 4.5X + 3x = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + 4.5X + -27 + 3x = 0 + -27 Reorder the terms: 27 + -27 + 4.5X + 3x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 4.5X + 3x = 0 + -27 4.5X + 3x = 0 + -27 Combine like terms: 0 + -27 = -27 4.5X + 3x = -27 Add '-3x' to each side of the equation. 4.5X + 3x + -3x = -27 + -3x Combine like terms: 3x + -3x = 0 4.5X + 0 = -27 + -3x 4.5X = -27 + -3x Divide each side by '4.5'. X = -6 + -0.6666666667x Simplifying X = -6 + -0.6666666667x
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