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Simplifying 5 + 4(5x + -6) = 5 + -5(2x + 1) Reorder the terms: 5 + 4(-6 + 5x) = 5 + -5(2x + 1) 5 + (-6 * 4 + 5x * 4) = 5 + -5(2x + 1) 5 + (-24 + 20x) = 5 + -5(2x + 1) Combine like terms: 5 + -24 = -19 -19 + 20x = 5 + -5(2x + 1) Reorder the terms: -19 + 20x = 5 + -5(1 + 2x) -19 + 20x = 5 + (1 * -5 + 2x * -5) -19 + 20x = 5 + (-5 + -10x) Combine like terms: 5 + -5 = 0 -19 + 20x = 0 + -10x -19 + 20x = -10x Solving -19 + 20x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -19 + 20x + 10x = -10x + 10x Combine like terms: 20x + 10x = 30x -19 + 30x = -10x + 10x Combine like terms: -10x + 10x = 0 -19 + 30x = 0 Add '19' to each side of the equation. -19 + 19 + 30x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 30x = 0 + 19 30x = 0 + 19 Combine like terms: 0 + 19 = 19 30x = 19 Divide each side by '30'. x = 0.6333333333 Simplifying x = 0.6333333333
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