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Simplifying (21x + -1) + -5(4x + 1) = -7 Reorder the terms: (-1 + 21x) + -5(4x + 1) = -7 Remove parenthesis around (-1 + 21x) -1 + 21x + -5(4x + 1) = -7 Reorder the terms: -1 + 21x + -5(1 + 4x) = -7 -1 + 21x + (1 * -5 + 4x * -5) = -7 -1 + 21x + (-5 + -20x) = -7 Reorder the terms: -1 + -5 + 21x + -20x = -7 Combine like terms: -1 + -5 = -6 -6 + 21x + -20x = -7 Combine like terms: 21x + -20x = 1x -6 + 1x = -7 Solving -6 + 1x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 1x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -7 + 6 1x = -7 + 6 Combine like terms: -7 + 6 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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