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Simplifying 5(4x + -1) = 10 + -1(10x + -14) Reorder the terms: 5(-1 + 4x) = 10 + -1(10x + -14) (-1 * 5 + 4x * 5) = 10 + -1(10x + -14) (-5 + 20x) = 10 + -1(10x + -14) Reorder the terms: -5 + 20x = 10 + -1(-14 + 10x) -5 + 20x = 10 + (-14 * -1 + 10x * -1) -5 + 20x = 10 + (14 + -10x) Combine like terms: 10 + 14 = 24 -5 + 20x = 24 + -10x Solving -5 + 20x = 24 + -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. -5 + 20x + 10x = 24 + -10x + 10x Combine like terms: 20x + 10x = 30x -5 + 30x = 24 + -10x + 10x Combine like terms: -10x + 10x = 0 -5 + 30x = 24 + 0 -5 + 30x = 24 Add '5' to each side of the equation. -5 + 5 + 30x = 24 + 5 Combine like terms: -5 + 5 = 0 0 + 30x = 24 + 5 30x = 24 + 5 Combine like terms: 24 + 5 = 29 30x = 29 Divide each side by '30'. x = 0.9666666667 Simplifying x = 0.9666666667
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