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Simplifying 4.5x + -1(-31.5) = 3x + 9 Multiply -1 * -31.5 4.5x + 31.5 = 3x + 9 Reorder the terms: 31.5 + 4.5x = 3x + 9 Reorder the terms: 31.5 + 4.5x = 9 + 3x Solving 31.5 + 4.5x = 9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 31.5 + 4.5x + -3x = 9 + 3x + -3x Combine like terms: 4.5x + -3x = 1.5x 31.5 + 1.5x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 31.5 + 1.5x = 9 + 0 31.5 + 1.5x = 9 Add '-31.5' to each side of the equation. 31.5 + -31.5 + 1.5x = 9 + -31.5 Combine like terms: 31.5 + -31.5 = 0.0 0.0 + 1.5x = 9 + -31.5 1.5x = 9 + -31.5 Combine like terms: 9 + -31.5 = -22.5 1.5x = -22.5 Divide each side by '1.5'. x = -15 Simplifying x = -15
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