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Simplifying 3x + 4(x + -9) = -78 Reorder the terms: 3x + 4(-9 + x) = -78 3x + (-9 * 4 + x * 4) = -78 3x + (-36 + 4x) = -78 Reorder the terms: -36 + 3x + 4x = -78 Combine like terms: 3x + 4x = 7x -36 + 7x = -78 Solving -36 + 7x = -78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 7x = -78 + 36 Combine like terms: -36 + 36 = 0 0 + 7x = -78 + 36 7x = -78 + 36 Combine like terms: -78 + 36 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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