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Simplifying 2(4x + -11) = 3(3x + 11) + -1z Reorder the terms: 2(-11 + 4x) = 3(3x + 11) + -1z (-11 * 2 + 4x * 2) = 3(3x + 11) + -1z (-22 + 8x) = 3(3x + 11) + -1z Reorder the terms: -22 + 8x = 3(11 + 3x) + -1z -22 + 8x = (11 * 3 + 3x * 3) + -1z -22 + 8x = (33 + 9x) + -1z Solving -22 + 8x = 33 + 9x + -1z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -22 + 8x + -9x = 33 + 9x + -9x + -1z Combine like terms: 8x + -9x = -1x -22 + -1x = 33 + 9x + -9x + -1z Combine like terms: 9x + -9x = 0 -22 + -1x = 33 + 0 + -1z -22 + -1x = 33 + -1z Add '22' to each side of the equation. -22 + 22 + -1x = 33 + 22 + -1z Combine like terms: -22 + 22 = 0 0 + -1x = 33 + 22 + -1z -1x = 33 + 22 + -1z Combine like terms: 33 + 22 = 55 -1x = 55 + -1z Divide each side by '-1'. x = -55 + z Simplifying x = -55 + z
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