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Simplifying X + -3 + -2(6 + -2x) = 2(2x + -3) X + -3 + (6 * -2 + -2x * -2) = 2(2x + -3) X + -3 + (-12 + 4x) = 2(2x + -3) Reorder the terms: -3 + -12 + X + 4x = 2(2x + -3) Combine like terms: -3 + -12 = -15 -15 + X + 4x = 2(2x + -3) Reorder the terms: -15 + X + 4x = 2(-3 + 2x) -15 + X + 4x = (-3 * 2 + 2x * 2) -15 + X + 4x = (-6 + 4x) Add '-4x' to each side of the equation. -15 + X + 4x + -4x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + X + 0 = -6 + 4x + -4x -15 + X = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + X = -6 + 0 -15 + X = -6 Solving -15 + X = -6 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + X = -6 + 15 Combine like terms: -15 + 15 = 0 0 + X = -6 + 15 X = -6 + 15 Combine like terms: -6 + 15 = 9 X = 9 Simplifying X = 9
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