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Simplifying 3(x + -2) = 7x + -1(x + -1) Reorder the terms: 3(-2 + x) = 7x + -1(x + -1) (-2 * 3 + x * 3) = 7x + -1(x + -1) (-6 + 3x) = 7x + -1(x + -1) Reorder the terms: -6 + 3x = 7x + -1(-1 + x) -6 + 3x = 7x + (-1 * -1 + x * -1) -6 + 3x = 7x + (1 + -1x) Reorder the terms: -6 + 3x = 1 + 7x + -1x Combine like terms: 7x + -1x = 6x -6 + 3x = 1 + 6x Solving -6 + 3x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 3x + -6x = 1 + 6x + -6x Combine like terms: 3x + -6x = -3x -6 + -3x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -3x = 1 + 0 -6 + -3x = 1 Add '6' to each side of the equation. -6 + 6 + -3x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 1 + 6 -3x = 1 + 6 Combine like terms: 1 + 6 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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