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Simplifying 7 + 4(5x + -4) = 9 + -3(2x + 1) Reorder the terms: 7 + 4(-4 + 5x) = 9 + -3(2x + 1) 7 + (-4 * 4 + 5x * 4) = 9 + -3(2x + 1) 7 + (-16 + 20x) = 9 + -3(2x + 1) Combine like terms: 7 + -16 = -9 -9 + 20x = 9 + -3(2x + 1) Reorder the terms: -9 + 20x = 9 + -3(1 + 2x) -9 + 20x = 9 + (1 * -3 + 2x * -3) -9 + 20x = 9 + (-3 + -6x) Combine like terms: 9 + -3 = 6 -9 + 20x = 6 + -6x Solving -9 + 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. -9 + 20x + 6x = 6 + -6x + 6x Combine like terms: 20x + 6x = 26x -9 + 26x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -9 + 26x = 6 + 0 -9 + 26x = 6 Add '9' to each side of the equation. -9 + 9 + 26x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 26x = 6 + 9 26x = 6 + 9 Combine like terms: 6 + 9 = 15 26x = 15 Divide each side by '26'. x = 0.5769230769 Simplifying x = 0.5769230769
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