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