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Simplifying 7 + -2(3x + -1) = 1 + -3(x + -1) Reorder the terms: 7 + -2(-1 + 3x) = 1 + -3(x + -1) 7 + (-1 * -2 + 3x * -2) = 1 + -3(x + -1) 7 + (2 + -6x) = 1 + -3(x + -1) Combine like terms: 7 + 2 = 9 9 + -6x = 1 + -3(x + -1) Reorder the terms: 9 + -6x = 1 + -3(-1 + x) 9 + -6x = 1 + (-1 * -3 + x * -3) 9 + -6x = 1 + (3 + -3x) Combine like terms: 1 + 3 = 4 9 + -6x = 4 + -3x Solving 9 + -6x = 4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 9 + -6x + 3x = 4 + -3x + 3x Combine like terms: -6x + 3x = -3x 9 + -3x = 4 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + -3x = 4 + 0 9 + -3x = 4 Add '-9' to each side of the equation. 9 + -9 + -3x = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 4 + -9 -3x = 4 + -9 Combine like terms: 4 + -9 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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