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