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Simplifying 6 + 4(5x + -5) = 8 + -5(2x + 1) Reorder the terms: 6 + 4(-5 + 5x) = 8 + -5(2x + 1) 6 + (-5 * 4 + 5x * 4) = 8 + -5(2x + 1) 6 + (-20 + 20x) = 8 + -5(2x + 1) Combine like terms: 6 + -20 = -14 -14 + 20x = 8 + -5(2x + 1) Reorder the terms: -14 + 20x = 8 + -5(1 + 2x) -14 + 20x = 8 + (1 * -5 + 2x * -5) -14 + 20x = 8 + (-5 + -10x) Combine like terms: 8 + -5 = 3 -14 + 20x = 3 + -10x Solving -14 + 20x = 3 + -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. -14 + 20x + 10x = 3 + -10x + 10x Combine like terms: 20x + 10x = 30x -14 + 30x = 3 + -10x + 10x Combine like terms: -10x + 10x = 0 -14 + 30x = 3 + 0 -14 + 30x = 3 Add '14' to each side of the equation. -14 + 14 + 30x = 3 + 14 Combine like terms: -14 + 14 = 0 0 + 30x = 3 + 14 30x = 3 + 14 Combine like terms: 3 + 14 = 17 30x = 17 Divide each side by '30'. x = 0.5666666667 Simplifying x = 0.5666666667
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