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Simplifying -7(4 + -3x) = 12x + 7 + 2x (4 * -7 + -3x * -7) = 12x + 7 + 2x (-28 + 21x) = 12x + 7 + 2x Reorder the terms: -28 + 21x = 7 + 12x + 2x Combine like terms: 12x + 2x = 14x -28 + 21x = 7 + 14x Solving -28 + 21x = 7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -28 + 21x + -14x = 7 + 14x + -14x Combine like terms: 21x + -14x = 7x -28 + 7x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 -28 + 7x = 7 + 0 -28 + 7x = 7 Add '28' to each side of the equation. -28 + 28 + 7x = 7 + 28 Combine like terms: -28 + 28 = 0 0 + 7x = 7 + 28 7x = 7 + 28 Combine like terms: 7 + 28 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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