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