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Simplifying -7(3 + -1x) = 2(14x + 7) + -16x (3 * -7 + -1x * -7) = 2(14x + 7) + -16x (-21 + 7x) = 2(14x + 7) + -16x Reorder the terms: -21 + 7x = 2(7 + 14x) + -16x -21 + 7x = (7 * 2 + 14x * 2) + -16x -21 + 7x = (14 + 28x) + -16x Combine like terms: 28x + -16x = 12x -21 + 7x = 14 + 12x Solving -21 + 7x = 14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -21 + 7x + -12x = 14 + 12x + -12x Combine like terms: 7x + -12x = -5x -21 + -5x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 -21 + -5x = 14 + 0 -21 + -5x = 14 Add '21' to each side of the equation. -21 + 21 + -5x = 14 + 21 Combine like terms: -21 + 21 = 0 0 + -5x = 14 + 21 -5x = 14 + 21 Combine like terms: 14 + 21 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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