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Simplifying 4.5(x + -2) = 0.5x + 21 Reorder the terms: 4.5(-2 + x) = 0.5x + 21 (-2 * 4.5 + x * 4.5) = 0.5x + 21 (-9 + 4.5x) = 0.5x + 21 Reorder the terms: -9 + 4.5x = 21 + 0.5x Solving -9 + 4.5x = 21 + 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 = 21 + 0.5x + -0.5x Combine like terms: 4.5x + -0.5x = 4x -9 + 4x = 21 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -9 + 4x = 21 + 0.0 -9 + 4x = 21 Add '9' to each side of the equation. -9 + 9 + 4x = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 21 + 9 4x = 21 + 9 Combine like terms: 21 + 9 = 30 4x = 30 Divide each side by '4'. x = 7.5 Simplifying x = 7.5
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