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Simplifying 5 + 4(5x + -5) = 8 + -3(2x + 1) Reorder the terms: 5 + 4(-5 + 5x) = 8 + -3(2x + 1) 5 + (-5 * 4 + 5x * 4) = 8 + -3(2x + 1) 5 + (-20 + 20x) = 8 + -3(2x + 1) Combine like terms: 5 + -20 = -15 -15 + 20x = 8 + -3(2x + 1) Reorder the terms: -15 + 20x = 8 + -3(1 + 2x) -15 + 20x = 8 + (1 * -3 + 2x * -3) -15 + 20x = 8 + (-3 + -6x) Combine like terms: 8 + -3 = 5 -15 + 20x = 5 + -6x Solving -15 + 20x = 5 + -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. -15 + 20x + 6x = 5 + -6x + 6x Combine like terms: 20x + 6x = 26x -15 + 26x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 26x = 5 + 0 -15 + 26x = 5 Add '15' to each side of the equation. -15 + 15 + 26x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 26x = 5 + 15 26x = 5 + 15 Combine like terms: 5 + 15 = 20 26x = 20 Divide each side by '26'. x = 0.7692307692 Simplifying x = 0.7692307692
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