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Simplifying 7x + -5(2 + -4x) + 8 = 21x + -10(x + -2) 7x + (2 * -5 + -4x * -5) + 8 = 21x + -10(x + -2) 7x + (-10 + 20x) + 8 = 21x + -10(x + -2) Reorder the terms: -10 + 8 + 7x + 20x = 21x + -10(x + -2) Combine like terms: -10 + 8 = -2 -2 + 7x + 20x = 21x + -10(x + -2) Combine like terms: 7x + 20x = 27x -2 + 27x = 21x + -10(x + -2) Reorder the terms: -2 + 27x = 21x + -10(-2 + x) -2 + 27x = 21x + (-2 * -10 + x * -10) -2 + 27x = 21x + (20 + -10x) Reorder the terms: -2 + 27x = 20 + 21x + -10x Combine like terms: 21x + -10x = 11x -2 + 27x = 20 + 11x Solving -2 + 27x = 20 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -2 + 27x + -11x = 20 + 11x + -11x Combine like terms: 27x + -11x = 16x -2 + 16x = 20 + 11x + -11x Combine like terms: 11x + -11x = 0 -2 + 16x = 20 + 0 -2 + 16x = 20 Add '2' to each side of the equation. -2 + 2 + 16x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + 16x = 20 + 2 16x = 20 + 2 Combine like terms: 20 + 2 = 22 16x = 22 Divide each side by '16'. x = 1.375 Simplifying x = 1.375
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