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Simplifying 5(2x + -5) = 0.5(18x + 40) Reorder the terms: 5(-5 + 2x) = 0.5(18x + 40) (-5 * 5 + 2x * 5) = 0.5(18x + 40) (-25 + 10x) = 0.5(18x + 40) Reorder the terms: -25 + 10x = 0.5(40 + 18x) -25 + 10x = (40 * 0.5 + 18x * 0.5) -25 + 10x = (20 + 9x) Solving -25 + 10x = 20 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -25 + 10x + -9x = 20 + 9x + -9x Combine like terms: 10x + -9x = 1x -25 + 1x = 20 + 9x + -9x Combine like terms: 9x + -9x = 0 -25 + 1x = 20 + 0 -25 + 1x = 20 Add '25' to each side of the equation. -25 + 25 + 1x = 20 + 25 Combine like terms: -25 + 25 = 0 0 + 1x = 20 + 25 1x = 20 + 25 Combine like terms: 20 + 25 = 45 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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