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Simplifying X + 10 + -1(3x + 12) = 7x + 2(11 + -4x) Reorder the terms: X + 10 + -1(12 + 3x) = 7x + 2(11 + -4x) X + 10 + (12 * -1 + 3x * -1) = 7x + 2(11 + -4x) X + 10 + (-12 + -3x) = 7x + 2(11 + -4x) Reorder the terms: 10 + -12 + X + -3x = 7x + 2(11 + -4x) Combine like terms: 10 + -12 = -2 -2 + X + -3x = 7x + 2(11 + -4x) -2 + X + -3x = 7x + (11 * 2 + -4x * 2) -2 + X + -3x = 7x + (22 + -8x) Reorder the terms: -2 + X + -3x = 22 + 7x + -8x Combine like terms: 7x + -8x = -1x -2 + X + -3x = 22 + -1x Solving -2 + X + -3x = 22 + -1x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + X + 2 + -3x = 22 + 2 + -1x Reorder the terms: -2 + 2 + X + -3x = 22 + 2 + -1x Combine like terms: -2 + 2 = 0 0 + X + -3x = 22 + 2 + -1x X + -3x = 22 + 2 + -1x Combine like terms: 22 + 2 = 24 X + -3x = 24 + -1x Add '3x' to each side of the equation. X + -3x + 3x = 24 + -1x + 3x Combine like terms: -3x + 3x = 0 X + 0 = 24 + -1x + 3x X = 24 + -1x + 3x Combine like terms: -1x + 3x = 2x X = 24 + 2x Simplifying X = 24 + 2x
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