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Simplifying 9x + -2 + -1x = -2(1 + -9x) + -1(7x + 12) Reorder the terms: -2 + 9x + -1x = -2(1 + -9x) + -1(7x + 12) Combine like terms: 9x + -1x = 8x -2 + 8x = -2(1 + -9x) + -1(7x + 12) -2 + 8x = (1 * -2 + -9x * -2) + -1(7x + 12) -2 + 8x = (-2 + 18x) + -1(7x + 12) Reorder the terms: -2 + 8x = -2 + 18x + -1(12 + 7x) -2 + 8x = -2 + 18x + (12 * -1 + 7x * -1) -2 + 8x = -2 + 18x + (-12 + -7x) Reorder the terms: -2 + 8x = -2 + -12 + 18x + -7x Combine like terms: -2 + -12 = -14 -2 + 8x = -14 + 18x + -7x Combine like terms: 18x + -7x = 11x -2 + 8x = -14 + 11x Solving -2 + 8x = -14 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -2 + 8x + -11x = -14 + 11x + -11x Combine like terms: 8x + -11x = -3x -2 + -3x = -14 + 11x + -11x Combine like terms: 11x + -11x = 0 -2 + -3x = -14 + 0 -2 + -3x = -14 Add '2' to each side of the equation. -2 + 2 + -3x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -14 + 2 -3x = -14 + 2 Combine like terms: -14 + 2 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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