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Simplifying 2x + 1 = 2(1 + -3x) + 7 Reorder the terms: 1 + 2x = 2(1 + -3x) + 7 1 + 2x = (1 * 2 + -3x * 2) + 7 1 + 2x = (2 + -6x) + 7 Reorder the terms: 1 + 2x = 2 + 7 + -6x Combine like terms: 2 + 7 = 9 1 + 2x = 9 + -6x Solving 1 + 2x = 9 + -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 + 2x + 6x = 9 + -6x + 6x Combine like terms: 2x + 6x = 8x 1 + 8x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 1 + 8x = 9 + 0 1 + 8x = 9 Add '-1' to each side of the equation. 1 + -1 + 8x = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 9 + -1 8x = 9 + -1 Combine like terms: 9 + -1 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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