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Simplifying -2(4x + 11) = 6x + 38 + -10x Reorder the terms: -2(11 + 4x) = 6x + 38 + -10x (11 * -2 + 4x * -2) = 6x + 38 + -10x (-22 + -8x) = 6x + 38 + -10x Reorder the terms: -22 + -8x = 38 + 6x + -10x Combine like terms: 6x + -10x = -4x -22 + -8x = 38 + -4x Solving -22 + -8x = 38 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -22 + -8x + 4x = 38 + -4x + 4x Combine like terms: -8x + 4x = -4x -22 + -4x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 -22 + -4x = 38 + 0 -22 + -4x = 38 Add '22' to each side of the equation. -22 + 22 + -4x = 38 + 22 Combine like terms: -22 + 22 = 0 0 + -4x = 38 + 22 -4x = 38 + 22 Combine like terms: 38 + 22 = 60 -4x = 60 Divide each side by '-4'. x = -15 Simplifying x = -15
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