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Simplifying 2(3x + 7) = 6 + -1(x + -1) Reorder the terms: 2(7 + 3x) = 6 + -1(x + -1) (7 * 2 + 3x * 2) = 6 + -1(x + -1) (14 + 6x) = 6 + -1(x + -1) Reorder the terms: 14 + 6x = 6 + -1(-1 + x) 14 + 6x = 6 + (-1 * -1 + x * -1) 14 + 6x = 6 + (1 + -1x) Combine like terms: 6 + 1 = 7 14 + 6x = 7 + -1x Solving 14 + 6x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 14 + 6x + x = 7 + -1x + x Combine like terms: 6x + x = 7x 14 + 7x = 7 + -1x + x Combine like terms: -1x + x = 0 14 + 7x = 7 + 0 14 + 7x = 7 Add '-14' to each side of the equation. 14 + -14 + 7x = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 7 + -14 7x = 7 + -14 Combine like terms: 7 + -14 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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