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Simplifying -1(1 + 5x) = -3x + 21 (1 * -1 + 5x * -1) = -3x + 21 (-1 + -5x) = -3x + 21 Reorder the terms: -1 + -5x = 21 + -3x Solving -1 + -5x = 21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -1 + -5x + 3x = 21 + -3x + 3x Combine like terms: -5x + 3x = -2x -1 + -2x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + -2x = 21 + 0 -1 + -2x = 21 Add '1' to each side of the equation. -1 + 1 + -2x = 21 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 21 + 1 -2x = 21 + 1 Combine like terms: 21 + 1 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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