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Simplifying 21 = -2(7x + 4) + -1(1 + -4x) Reorder the terms: 21 = -2(4 + 7x) + -1(1 + -4x) 21 = (4 * -2 + 7x * -2) + -1(1 + -4x) 21 = (-8 + -14x) + -1(1 + -4x) 21 = -8 + -14x + (1 * -1 + -4x * -1) 21 = -8 + -14x + (-1 + 4x) Reorder the terms: 21 = -8 + -1 + -14x + 4x Combine like terms: -8 + -1 = -9 21 = -9 + -14x + 4x Combine like terms: -14x + 4x = -10x 21 = -9 + -10x Solving 21 = -9 + -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. 21 + 10x = -9 + -10x + 10x Combine like terms: -10x + 10x = 0 21 + 10x = -9 + 0 21 + 10x = -9 Add '-21' to each side of the equation. 21 + -21 + 10x = -9 + -21 Combine like terms: 21 + -21 = 0 0 + 10x = -9 + -21 10x = -9 + -21 Combine like terms: -9 + -21 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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