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Simplifying (X + -4) + -2(x + -2) = 3(2x + -7) Reorder the terms: (-4 + X) + -2(x + -2) = 3(2x + -7) Remove parenthesis around (-4 + X) -4 + X + -2(x + -2) = 3(2x + -7) Reorder the terms: -4 + X + -2(-2 + x) = 3(2x + -7) -4 + X + (-2 * -2 + x * -2) = 3(2x + -7) -4 + X + (4 + -2x) = 3(2x + -7) Reorder the terms: -4 + 4 + X + -2x = 3(2x + -7) Combine like terms: -4 + 4 = 0 0 + X + -2x = 3(2x + -7) X + -2x = 3(2x + -7) Reorder the terms: X + -2x = 3(-7 + 2x) X + -2x = (-7 * 3 + 2x * 3) X + -2x = (-21 + 6x) Solving X + -2x = -21 + 6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2x' to each side of the equation. X + -2x + 2x = -21 + 6x + 2x Combine like terms: -2x + 2x = 0 X + 0 = -21 + 6x + 2x X = -21 + 6x + 2x Combine like terms: 6x + 2x = 8x X = -21 + 8x Simplifying X = -21 + 8x
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