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Simplifying 5(x + -8) + -6(8x + 9) = -44(x + 2) + -6 Reorder the terms: 5(-8 + x) + -6(8x + 9) = -44(x + 2) + -6 (-8 * 5 + x * 5) + -6(8x + 9) = -44(x + 2) + -6 (-40 + 5x) + -6(8x + 9) = -44(x + 2) + -6 Reorder the terms: -40 + 5x + -6(9 + 8x) = -44(x + 2) + -6 -40 + 5x + (9 * -6 + 8x * -6) = -44(x + 2) + -6 -40 + 5x + (-54 + -48x) = -44(x + 2) + -6 Reorder the terms: -40 + -54 + 5x + -48x = -44(x + 2) + -6 Combine like terms: -40 + -54 = -94 -94 + 5x + -48x = -44(x + 2) + -6 Combine like terms: 5x + -48x = -43x -94 + -43x = -44(x + 2) + -6 Reorder the terms: -94 + -43x = -44(2 + x) + -6 -94 + -43x = (2 * -44 + x * -44) + -6 -94 + -43x = (-88 + -44x) + -6 Reorder the terms: -94 + -43x = -88 + -6 + -44x Combine like terms: -88 + -6 = -94 -94 + -43x = -94 + -44x Add '94' to each side of the equation. -94 + 94 + -43x = -94 + 94 + -44x Combine like terms: -94 + 94 = 0 0 + -43x = -94 + 94 + -44x -43x = -94 + 94 + -44x Combine like terms: -94 + 94 = 0 -43x = 0 + -44x -43x = -44x Solving -43x = -44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44x' to each side of the equation. -43x + 44x = -44x + 44x Combine like terms: -43x + 44x = 1x 1x = -44x + 44x Combine like terms: -44x + 44x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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