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Simplifying 5(2x + -5) = 1.5(18x + 40) Reorder the terms: 5(-5 + 2x) = 1.5(18x + 40) (-5 * 5 + 2x * 5) = 1.5(18x + 40) (-25 + 10x) = 1.5(18x + 40) Reorder the terms: -25 + 10x = 1.5(40 + 18x) -25 + 10x = (40 * 1.5 + 18x * 1.5) -25 + 10x = (60 + 27x) Solving -25 + 10x = 60 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -25 + 10x + -27x = 60 + 27x + -27x Combine like terms: 10x + -27x = -17x -25 + -17x = 60 + 27x + -27x Combine like terms: 27x + -27x = 0 -25 + -17x = 60 + 0 -25 + -17x = 60 Add '25' to each side of the equation. -25 + 25 + -17x = 60 + 25 Combine like terms: -25 + 25 = 0 0 + -17x = 60 + 25 -17x = 60 + 25 Combine like terms: 60 + 25 = 85 -17x = 85 Divide each side by '-17'. x = -5 Simplifying x = -5
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