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Simplifying 4x(4 + -5) = 5(10 + x) Combine like terms: 4 + -5 = -1 4x(-1) = 5(10 + x) Reorder the terms for easier multiplication: 4 * -1x = 5(10 + x) Multiply 4 * -1 -4x = 5(10 + x) -4x = (10 * 5 + x * 5) -4x = (50 + 5x) Solving -4x = 50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4x + -5x = 50 + 5x + -5x Combine like terms: -4x + -5x = -9x -9x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 -9x = 50 + 0 -9x = 50 Divide each side by '-9'. x = -5.555555556 Simplifying x = -5.555555556
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