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Simplifying 8 + 4(5x + -5) = 6 + -5(2x + 1) Reorder the terms: 8 + 4(-5 + 5x) = 6 + -5(2x + 1) 8 + (-5 * 4 + 5x * 4) = 6 + -5(2x + 1) 8 + (-20 + 20x) = 6 + -5(2x + 1) Combine like terms: 8 + -20 = -12 -12 + 20x = 6 + -5(2x + 1) Reorder the terms: -12 + 20x = 6 + -5(1 + 2x) -12 + 20x = 6 + (1 * -5 + 2x * -5) -12 + 20x = 6 + (-5 + -10x) Combine like terms: 6 + -5 = 1 -12 + 20x = 1 + -10x Solving -12 + 20x = 1 + -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. -12 + 20x + 10x = 1 + -10x + 10x Combine like terms: 20x + 10x = 30x -12 + 30x = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 30x = 1 + 0 -12 + 30x = 1 Add '12' to each side of the equation. -12 + 12 + 30x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 30x = 1 + 12 30x = 1 + 12 Combine like terms: 1 + 12 = 13 30x = 13 Divide each side by '30'. x = 0.4333333333 Simplifying x = 0.4333333333
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