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Simplifying 9 + 6(x + -2) = 10 + -7(x + -1) Reorder the terms: 9 + 6(-2 + x) = 10 + -7(x + -1) 9 + (-2 * 6 + x * 6) = 10 + -7(x + -1) 9 + (-12 + 6x) = 10 + -7(x + -1) Combine like terms: 9 + -12 = -3 -3 + 6x = 10 + -7(x + -1) Reorder the terms: -3 + 6x = 10 + -7(-1 + x) -3 + 6x = 10 + (-1 * -7 + x * -7) -3 + 6x = 10 + (7 + -7x) Combine like terms: 10 + 7 = 17 -3 + 6x = 17 + -7x Solving -3 + 6x = 17 + -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. -3 + 6x + 7x = 17 + -7x + 7x Combine like terms: 6x + 7x = 13x -3 + 13x = 17 + -7x + 7x Combine like terms: -7x + 7x = 0 -3 + 13x = 17 + 0 -3 + 13x = 17 Add '3' to each side of the equation. -3 + 3 + 13x = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 13x = 17 + 3 13x = 17 + 3 Combine like terms: 17 + 3 = 20 13x = 20 Divide each side by '13'. x = 1.538461538 Simplifying x = 1.538461538
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