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Simplifying 6 + -1(x + -3) = x + -1(7x + 1) Reorder the terms: 6 + -1(-3 + x) = x + -1(7x + 1) 6 + (-3 * -1 + x * -1) = x + -1(7x + 1) 6 + (3 + -1x) = x + -1(7x + 1) Combine like terms: 6 + 3 = 9 9 + -1x = x + -1(7x + 1) Reorder the terms: 9 + -1x = x + -1(1 + 7x) 9 + -1x = x + (1 * -1 + 7x * -1) 9 + -1x = x + (-1 + -7x) Reorder the terms: 9 + -1x = -1 + x + -7x Combine like terms: x + -7x = -6x 9 + -1x = -1 + -6x Solving 9 + -1x = -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. 9 + -1x + 6x = -1 + -6x + 6x Combine like terms: -1x + 6x = 5x 9 + 5x = -1 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 5x = -1 + 0 9 + 5x = -1 Add '-9' to each side of the equation. 9 + -9 + 5x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = -1 + -9 5x = -1 + -9 Combine like terms: -1 + -9 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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