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Simplifying 2 + 4(5x + -4) = 8 + -5(2x + -1) Reorder the terms: 2 + 4(-4 + 5x) = 8 + -5(2x + -1) 2 + (-4 * 4 + 5x * 4) = 8 + -5(2x + -1) 2 + (-16 + 20x) = 8 + -5(2x + -1) Combine like terms: 2 + -16 = -14 -14 + 20x = 8 + -5(2x + -1) Reorder the terms: -14 + 20x = 8 + -5(-1 + 2x) -14 + 20x = 8 + (-1 * -5 + 2x * -5) -14 + 20x = 8 + (5 + -10x) Combine like terms: 8 + 5 = 13 -14 + 20x = 13 + -10x Solving -14 + 20x = 13 + -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 = 13 + -10x + 10x Combine like terms: 20x + 10x = 30x -14 + 30x = 13 + -10x + 10x Combine like terms: -10x + 10x = 0 -14 + 30x = 13 + 0 -14 + 30x = 13 Add '14' to each side of the equation. -14 + 14 + 30x = 13 + 14 Combine like terms: -14 + 14 = 0 0 + 30x = 13 + 14 30x = 13 + 14 Combine like terms: 13 + 14 = 27 30x = 27 Divide each side by '30'. x = 0.9 Simplifying x = 0.9
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