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Simplifying -21 = -7(3x + 1) + -5(2 + -5x) Reorder the terms: -21 = -7(1 + 3x) + -5(2 + -5x) -21 = (1 * -7 + 3x * -7) + -5(2 + -5x) -21 = (-7 + -21x) + -5(2 + -5x) -21 = -7 + -21x + (2 * -5 + -5x * -5) -21 = -7 + -21x + (-10 + 25x) Reorder the terms: -21 = -7 + -10 + -21x + 25x Combine like terms: -7 + -10 = -17 -21 = -17 + -21x + 25x Combine like terms: -21x + 25x = 4x -21 = -17 + 4x Solving -21 = -17 + 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. -21 + -4x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + -4x = -17 + 0 -21 + -4x = -17 Add '21' to each side of the equation. -21 + 21 + -4x = -17 + 21 Combine like terms: -21 + 21 = 0 0 + -4x = -17 + 21 -4x = -17 + 21 Combine like terms: -17 + 21 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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