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Simplifying 5(4x + -5) = 32 + -6(x + -3) Reorder the terms: 5(-5 + 4x) = 32 + -6(x + -3) (-5 * 5 + 4x * 5) = 32 + -6(x + -3) (-25 + 20x) = 32 + -6(x + -3) Reorder the terms: -25 + 20x = 32 + -6(-3 + x) -25 + 20x = 32 + (-3 * -6 + x * -6) -25 + 20x = 32 + (18 + -6x) Combine like terms: 32 + 18 = 50 -25 + 20x = 50 + -6x Solving -25 + 20x = 50 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -25 + 20x + 6x = 50 + -6x + 6x Combine like terms: 20x + 6x = 26x -25 + 26x = 50 + -6x + 6x Combine like terms: -6x + 6x = 0 -25 + 26x = 50 + 0 -25 + 26x = 50 Add '25' to each side of the equation. -25 + 25 + 26x = 50 + 25 Combine like terms: -25 + 25 = 0 0 + 26x = 50 + 25 26x = 50 + 25 Combine like terms: 50 + 25 = 75 26x = 75 Divide each side by '26'. x = 2.884615385 Simplifying x = 2.884615385
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