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Simplifying 3 + 4(5x + -5) = 9 + -3(2x + 1) Reorder the terms: 3 + 4(-5 + 5x) = 9 + -3(2x + 1) 3 + (-5 * 4 + 5x * 4) = 9 + -3(2x + 1) 3 + (-20 + 20x) = 9 + -3(2x + 1) Combine like terms: 3 + -20 = -17 -17 + 20x = 9 + -3(2x + 1) Reorder the terms: -17 + 20x = 9 + -3(1 + 2x) -17 + 20x = 9 + (1 * -3 + 2x * -3) -17 + 20x = 9 + (-3 + -6x) Combine like terms: 9 + -3 = 6 -17 + 20x = 6 + -6x Solving -17 + 20x = 6 + -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. -17 + 20x + 6x = 6 + -6x + 6x Combine like terms: 20x + 6x = 26x -17 + 26x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -17 + 26x = 6 + 0 -17 + 26x = 6 Add '17' to each side of the equation. -17 + 17 + 26x = 6 + 17 Combine like terms: -17 + 17 = 0 0 + 26x = 6 + 17 26x = 6 + 17 Combine like terms: 6 + 17 = 23 26x = 23 Divide each side by '26'. x = 0.8846153846 Simplifying x = 0.8846153846
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