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Simplifying 2(4x + -11) = 3x + 18 + 6x + -24 Reorder the terms: 2(-11 + 4x) = 3x + 18 + 6x + -24 (-11 * 2 + 4x * 2) = 3x + 18 + 6x + -24 (-22 + 8x) = 3x + 18 + 6x + -24 Reorder the terms: -22 + 8x = 18 + -24 + 3x + 6x Combine like terms: 18 + -24 = -6 -22 + 8x = -6 + 3x + 6x Combine like terms: 3x + 6x = 9x -22 + 8x = -6 + 9x Solving -22 + 8x = -6 + 9x 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 = -6 + 9x + -9x Combine like terms: 8x + -9x = -1x -22 + -1x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 -22 + -1x = -6 + 0 -22 + -1x = -6 Add '22' to each side of the equation. -22 + 22 + -1x = -6 + 22 Combine like terms: -22 + 22 = 0 0 + -1x = -6 + 22 -1x = -6 + 22 Combine like terms: -6 + 22 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16
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