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Simplifying X + -2(4x + 11) = 2(x + 7) Reorder the terms: X + -2(11 + 4x) = 2(x + 7) X + (11 * -2 + 4x * -2) = 2(x + 7) X + (-22 + -8x) = 2(x + 7) Reorder the terms: -22 + X + -8x = 2(x + 7) Reorder the terms: -22 + X + -8x = 2(7 + x) -22 + X + -8x = (7 * 2 + x * 2) -22 + X + -8x = (14 + 2x) Solving -22 + X + -8x = 14 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '22' to each side of the equation. -22 + X + 22 + -8x = 14 + 22 + 2x Reorder the terms: -22 + 22 + X + -8x = 14 + 22 + 2x Combine like terms: -22 + 22 = 0 0 + X + -8x = 14 + 22 + 2x X + -8x = 14 + 22 + 2x Combine like terms: 14 + 22 = 36 X + -8x = 36 + 2x Add '8x' to each side of the equation. X + -8x + 8x = 36 + 2x + 8x Combine like terms: -8x + 8x = 0 X + 0 = 36 + 2x + 8x X = 36 + 2x + 8x Combine like terms: 2x + 8x = 10x X = 36 + 10x Simplifying X = 36 + 10x
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