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Simplifying 4(7x + -9) + -1(6x + 48) = 0 Reorder the terms: 4(-9 + 7x) + -1(6x + 48) = 0 (-9 * 4 + 7x * 4) + -1(6x + 48) = 0 (-36 + 28x) + -1(6x + 48) = 0 Reorder the terms: -36 + 28x + -1(48 + 6x) = 0 -36 + 28x + (48 * -1 + 6x * -1) = 0 -36 + 28x + (-48 + -6x) = 0 Reorder the terms: -36 + -48 + 28x + -6x = 0 Combine like terms: -36 + -48 = -84 -84 + 28x + -6x = 0 Combine like terms: 28x + -6x = 22x -84 + 22x = 0 Solving -84 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + 22x = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 22x = 0 + 84 22x = 0 + 84 Combine like terms: 0 + 84 = 84 22x = 84 Divide each side by '22'. x = 3.818181818 Simplifying x = 3.818181818
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