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Simplifying 7x + -1(5x + 5) = 3x + -21 Reorder the terms: 7x + -1(5 + 5x) = 3x + -21 7x + (5 * -1 + 5x * -1) = 3x + -21 7x + (-5 + -5x) = 3x + -21 Reorder the terms: -5 + 7x + -5x = 3x + -21 Combine like terms: 7x + -5x = 2x -5 + 2x = 3x + -21 Reorder the terms: -5 + 2x = -21 + 3x Solving -5 + 2x = -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. -5 + 2x + -3x = -21 + 3x + -3x Combine like terms: 2x + -3x = -1x -5 + -1x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -1x = -21 + 0 -5 + -1x = -21 Add '5' to each side of the equation. -5 + 5 + -1x = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -21 + 5 -1x = -21 + 5 Combine like terms: -21 + 5 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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