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Simplifying 3x(-4) + -2(x + 7) = 0 Reorder the terms for easier multiplication: 3 * -4x + -2(x + 7) = 0 Multiply 3 * -4 -12x + -2(x + 7) = 0 Reorder the terms: -12x + -2(7 + x) = 0 -12x + (7 * -2 + x * -2) = 0 -12x + (-14 + -2x) = 0 Reorder the terms: -14 + -12x + -2x = 0 Combine like terms: -12x + -2x = -14x -14 + -14x = 0 Solving -14 + -14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -14x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -14x = 0 + 14 -14x = 0 + 14 Combine like terms: 0 + 14 = 14 -14x = 14 Divide each side by '-14'. x = -1 Simplifying x = -1
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