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Simplifying 5 + 4(5x + -4) = 6 + -3(2x + 1) Reorder the terms: 5 + 4(-4 + 5x) = 6 + -3(2x + 1) 5 + (-4 * 4 + 5x * 4) = 6 + -3(2x + 1) 5 + (-16 + 20x) = 6 + -3(2x + 1) Combine like terms: 5 + -16 = -11 -11 + 20x = 6 + -3(2x + 1) Reorder the terms: -11 + 20x = 6 + -3(1 + 2x) -11 + 20x = 6 + (1 * -3 + 2x * -3) -11 + 20x = 6 + (-3 + -6x) Combine like terms: 6 + -3 = 3 -11 + 20x = 3 + -6x Solving -11 + 20x = 3 + -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. -11 + 20x + 6x = 3 + -6x + 6x Combine like terms: 20x + 6x = 26x -11 + 26x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -11 + 26x = 3 + 0 -11 + 26x = 3 Add '11' to each side of the equation. -11 + 11 + 26x = 3 + 11 Combine like terms: -11 + 11 = 0 0 + 26x = 3 + 11 26x = 3 + 11 Combine like terms: 3 + 11 = 14 26x = 14 Divide each side by '26'. x = 0.5384615385 Simplifying x = 0.5384615385
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