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Simplifying 0.25(20x + 24) + -16 = -0.5(14x + -14) Reorder the terms: 0.25(24 + 20x) + -16 = -0.5(14x + -14) (24 * 0.25 + 20x * 0.25) + -16 = -0.5(14x + -14) (6 + 5x) + -16 = -0.5(14x + -14) Reorder the terms: 6 + -16 + 5x = -0.5(14x + -14) Combine like terms: 6 + -16 = -10 -10 + 5x = -0.5(14x + -14) Reorder the terms: -10 + 5x = -0.5(-14 + 14x) -10 + 5x = (-14 * -0.5 + 14x * -0.5) -10 + 5x = (7 + -7x) Solving -10 + 5x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -10 + 5x + 7x = 7 + -7x + 7x Combine like terms: 5x + 7x = 12x -10 + 12x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + 12x = 7 + 0 -10 + 12x = 7 Add '10' to each side of the equation. -10 + 10 + 12x = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 7 + 10 12x = 7 + 10 Combine like terms: 7 + 10 = 17 12x = 17 Divide each side by '12'. x = 1.416666667 Simplifying x = 1.416666667
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