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Simplifying 2 + -3(4x + -1) = 4x + 21 Reorder the terms: 2 + -3(-1 + 4x) = 4x + 21 2 + (-1 * -3 + 4x * -3) = 4x + 21 2 + (3 + -12x) = 4x + 21 Combine like terms: 2 + 3 = 5 5 + -12x = 4x + 21 Reorder the terms: 5 + -12x = 21 + 4x Solving 5 + -12x = 21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + -12x + -4x = 21 + 4x + -4x Combine like terms: -12x + -4x = -16x 5 + -16x = 21 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -16x = 21 + 0 5 + -16x = 21 Add '-5' to each side of the equation. 5 + -5 + -16x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -16x = 21 + -5 -16x = 21 + -5 Combine like terms: 21 + -5 = 16 -16x = 16 Divide each side by '-16'. x = -1 Simplifying x = -1
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