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Simplifying 2X + 6 = 12 + -6(x + -7) Reorder the terms: 6 + 2X = 12 + -6(x + -7) Reorder the terms: 6 + 2X = 12 + -6(-7 + x) 6 + 2X = 12 + (-7 * -6 + x * -6) 6 + 2X = 12 + (42 + -6x) Combine like terms: 12 + 42 = 54 6 + 2X = 54 + -6x Solving 6 + 2X = 54 + -6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2X = 54 + -6 + -6x Combine like terms: 6 + -6 = 0 0 + 2X = 54 + -6 + -6x 2X = 54 + -6 + -6x Combine like terms: 54 + -6 = 48 2X = 48 + -6x Divide each side by '2'. X = 24 + -3x Simplifying X = 24 + -3x
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