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Simplifying 21 + -11x = -4(7x + 2) + -4(-5 + -4x) Reorder the terms: 21 + -11x = -4(2 + 7x) + -4(-5 + -4x) 21 + -11x = (2 * -4 + 7x * -4) + -4(-5 + -4x) 21 + -11x = (-8 + -28x) + -4(-5 + -4x) 21 + -11x = -8 + -28x + (-5 * -4 + -4x * -4) 21 + -11x = -8 + -28x + (20 + 16x) Reorder the terms: 21 + -11x = -8 + 20 + -28x + 16x Combine like terms: -8 + 20 = 12 21 + -11x = 12 + -28x + 16x Combine like terms: -28x + 16x = -12x 21 + -11x = 12 + -12x Solving 21 + -11x = 12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 21 + -11x + 12x = 12 + -12x + 12x Combine like terms: -11x + 12x = 1x 21 + 1x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 21 + 1x = 12 + 0 21 + 1x = 12 Add '-21' to each side of the equation. 21 + -21 + 1x = 12 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 12 + -21 1x = 12 + -21 Combine like terms: 12 + -21 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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