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Simplifying 3(-2) = 7x + -1(x + 1) Multiply 3 * -2 -6 = 7x + -1(x + 1) Reorder the terms: -6 = 7x + -1(1 + x) -6 = 7x + (1 * -1 + x * -1) -6 = 7x + (-1 + -1x) Reorder the terms: -6 = -1 + 7x + -1x Combine like terms: 7x + -1x = 6x -6 = -1 + 6x Solving -6 = -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 + -6x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -6x = -1 + 0 -6 + -6x = -1 Add '6' to each side of the equation. -6 + 6 + -6x = -1 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -1 + 6 -6x = -1 + 6 Combine like terms: -1 + 6 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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