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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 = 10 8x = 10 Divide each side by '8'. x = 1.25 Simplifying x = 1.25
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