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Simplifying 4.5(x + -2) = -0.5x + 31 Reorder the terms: 4.5(-2 + x) = -0.5x + 31 (-2 * 4.5 + x * 4.5) = -0.5x + 31 (-9 + 4.5x) = -0.5x + 31 Reorder the terms: -9 + 4.5x = 31 + -0.5x Solving -9 + 4.5x = 31 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -9 + 4.5x + 0.5x = 31 + -0.5x + 0.5x Combine like terms: 4.5x + 0.5x = 5x -9 + 5x = 31 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -9 + 5x = 31 + 0.0 -9 + 5x = 31 Add '9' to each side of the equation. -9 + 9 + 5x = 31 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 31 + 9 5x = 31 + 9 Combine like terms: 31 + 9 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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