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Simplifying 1.5(x + 4) + -3 = 4.5(-2) Reorder the terms: 1.5(4 + x) + -3 = 4.5(-2) (4 * 1.5 + x * 1.5) + -3 = 4.5(-2) (6 + 1.5x) + -3 = 4.5(-2) Reorder the terms: 6 + -3 + 1.5x = 4.5(-2) Combine like terms: 6 + -3 = 3 3 + 1.5x = 4.5(-2) Multiply 4.5 * -2 3 + 1.5x = -9 Solving 3 + 1.5x = -9 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 + 1.5x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 1.5x = -9 + -3 1.5x = -9 + -3 Combine like terms: -9 + -3 = -12 1.5x = -12 Divide each side by '1.5'. x = -8 Simplifying x = -8
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