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Simplifying 4(2x + -9) = 6x + -12x + 30 Reorder the terms: 4(-9 + 2x) = 6x + -12x + 30 (-9 * 4 + 2x * 4) = 6x + -12x + 30 (-36 + 8x) = 6x + -12x + 30 Reorder the terms: -36 + 8x = 30 + 6x + -12x Combine like terms: 6x + -12x = -6x -36 + 8x = 30 + -6x Solving -36 + 8x = 30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -36 + 8x + 6x = 30 + -6x + 6x Combine like terms: 8x + 6x = 14x -36 + 14x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 -36 + 14x = 30 + 0 -36 + 14x = 30 Add '36' to each side of the equation. -36 + 36 + 14x = 30 + 36 Combine like terms: -36 + 36 = 0 0 + 14x = 30 + 36 14x = 30 + 36 Combine like terms: 30 + 36 = 66 14x = 66 Divide each side by '14'. x = 4.714285714 Simplifying x = 4.714285714
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