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Simplifying 9x + -1(7x + 12) = 5 + -1(7x + -2) Reorder the terms: 9x + -1(12 + 7x) = 5 + -1(7x + -2) 9x + (12 * -1 + 7x * -1) = 5 + -1(7x + -2) 9x + (-12 + -7x) = 5 + -1(7x + -2) Reorder the terms: -12 + 9x + -7x = 5 + -1(7x + -2) Combine like terms: 9x + -7x = 2x -12 + 2x = 5 + -1(7x + -2) Reorder the terms: -12 + 2x = 5 + -1(-2 + 7x) -12 + 2x = 5 + (-2 * -1 + 7x * -1) -12 + 2x = 5 + (2 + -7x) Combine like terms: 5 + 2 = 7 -12 + 2x = 7 + -7x Solving -12 + 2x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -12 + 2x + 7x = 7 + -7x + 7x Combine like terms: 2x + 7x = 9x -12 + 9x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 -12 + 9x = 7 + 0 -12 + 9x = 7 Add '12' to each side of the equation. -12 + 12 + 9x = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 7 + 12 9x = 7 + 12 Combine like terms: 7 + 12 = 19 9x = 19 Divide each side by '9'. x = 2.111111111 Simplifying x = 2.111111111
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