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Simplifying x + -1 = 2(3x + 7) Reorder the terms: -1 + x = 2(3x + 7) Reorder the terms: -1 + x = 2(7 + 3x) -1 + x = (7 * 2 + 3x * 2) -1 + x = (14 + 6x) Solving -1 + x = 14 + 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. -1 + x + -6x = 14 + 6x + -6x Combine like terms: x + -6x = -5x -1 + -5x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -5x = 14 + 0 -1 + -5x = 14 Add '1' to each side of the equation. -1 + 1 + -5x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 14 + 1 -5x = 14 + 1 Combine like terms: 14 + 1 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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