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Simplifying (X + 1) + -5y = 12 + -1(6x + -7) Reorder the terms: (1 + X) + -5y = 12 + -1(6x + -7) Remove parenthesis around (1 + X) 1 + X + -5y = 12 + -1(6x + -7) Reorder the terms: 1 + X + -5y = 12 + -1(-7 + 6x) 1 + X + -5y = 12 + (-7 * -1 + 6x * -1) 1 + X + -5y = 12 + (7 + -6x) Combine like terms: 12 + 7 = 19 1 + X + -5y = 19 + -6x Solving 1 + X + -5y = 19 + -6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + X + -1 + -5y = 19 + -1 + -6x Reorder the terms: 1 + -1 + X + -5y = 19 + -1 + -6x Combine like terms: 1 + -1 = 0 0 + X + -5y = 19 + -1 + -6x X + -5y = 19 + -1 + -6x Combine like terms: 19 + -1 = 18 X + -5y = 18 + -6x Add '5y' to each side of the equation. X + -5y + 5y = 18 + -6x + 5y Combine like terms: -5y + 5y = 0 X + 0 = 18 + -6x + 5y X = 18 + -6x + 5y Simplifying X = 18 + -6x + 5y
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