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Simplifying 4.5(x + -4) = -0.5x + 17 Reorder the terms: 4.5(-4 + x) = -0.5x + 17 (-4 * 4.5 + x * 4.5) = -0.5x + 17 (-18 + 4.5x) = -0.5x + 17 Reorder the terms: -18 + 4.5x = 17 + -0.5x Solving -18 + 4.5x = 17 + -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. -18 + 4.5x + 0.5x = 17 + -0.5x + 0.5x Combine like terms: 4.5x + 0.5x = 5x -18 + 5x = 17 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -18 + 5x = 17 + 0.0 -18 + 5x = 17 Add '18' to each side of the equation. -18 + 18 + 5x = 17 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 17 + 18 5x = 17 + 18 Combine like terms: 17 + 18 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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