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Simplifying 2 + 4(5x + -4) = 5 + -5(2x + 1) Reorder the terms: 2 + 4(-4 + 5x) = 5 + -5(2x + 1) 2 + (-4 * 4 + 5x * 4) = 5 + -5(2x + 1) 2 + (-16 + 20x) = 5 + -5(2x + 1) Combine like terms: 2 + -16 = -14 -14 + 20x = 5 + -5(2x + 1) Reorder the terms: -14 + 20x = 5 + -5(1 + 2x) -14 + 20x = 5 + (1 * -5 + 2x * -5) -14 + 20x = 5 + (-5 + -10x) Combine like terms: 5 + -5 = 0 -14 + 20x = 0 + -10x -14 + 20x = -10x Solving -14 + 20x = -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. -14 + 20x + 10x = -10x + 10x Combine like terms: 20x + 10x = 30x -14 + 30x = -10x + 10x Combine like terms: -10x + 10x = 0 -14 + 30x = 0 Add '14' to each side of the equation. -14 + 14 + 30x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 30x = 0 + 14 30x = 0 + 14 Combine like terms: 0 + 14 = 14 30x = 14 Divide each side by '30'. x = 0.4666666667 Simplifying x = 0.4666666667
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