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