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Simplifying 9(x + -1) + 2(x + -1) = -7(x + -1) + 12 Reorder the terms: 9(-1 + x) + 2(x + -1) = -7(x + -1) + 12 (-1 * 9 + x * 9) + 2(x + -1) = -7(x + -1) + 12 (-9 + 9x) + 2(x + -1) = -7(x + -1) + 12 Reorder the terms: -9 + 9x + 2(-1 + x) = -7(x + -1) + 12 -9 + 9x + (-1 * 2 + x * 2) = -7(x + -1) + 12 -9 + 9x + (-2 + 2x) = -7(x + -1) + 12 Reorder the terms: -9 + -2 + 9x + 2x = -7(x + -1) + 12 Combine like terms: -9 + -2 = -11 -11 + 9x + 2x = -7(x + -1) + 12 Combine like terms: 9x + 2x = 11x -11 + 11x = -7(x + -1) + 12 Reorder the terms: -11 + 11x = -7(-1 + x) + 12 -11 + 11x = (-1 * -7 + x * -7) + 12 -11 + 11x = (7 + -7x) + 12 Reorder the terms: -11 + 11x = 7 + 12 + -7x Combine like terms: 7 + 12 = 19 -11 + 11x = 19 + -7x Solving -11 + 11x = 19 + -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. -11 + 11x + 7x = 19 + -7x + 7x Combine like terms: 11x + 7x = 18x -11 + 18x = 19 + -7x + 7x Combine like terms: -7x + 7x = 0 -11 + 18x = 19 + 0 -11 + 18x = 19 Add '11' to each side of the equation. -11 + 11 + 18x = 19 + 11 Combine like terms: -11 + 11 = 0 0 + 18x = 19 + 11 18x = 19 + 11 Combine like terms: 19 + 11 = 30 18x = 30 Divide each side by '18'. x = 1.666666667 Simplifying x = 1.666666667
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