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Simplifying -14 + 1x = 7(2 + -1x) + 1 -14 + 1x = (2 * 7 + -1x * 7) + 1 -14 + 1x = (14 + -7x) + 1 Reorder the terms: -14 + 1x = 14 + 1 + -7x Combine like terms: 14 + 1 = 15 -14 + 1x = 15 + -7x Solving -14 + 1x = 15 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -14 + 1x + 7x = 15 + -7x + 7x Combine like terms: 1x + 7x = 8x -14 + 8x = 15 + -7x + 7x Combine like terms: -7x + 7x = 0 -14 + 8x = 15 + 0 -14 + 8x = 15 Add '14' to each side of the equation. -14 + 14 + 8x = 15 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 15 + 14 8x = 15 + 14 Combine like terms: 15 + 14 = 29 8x = 29 Divide each side by '8'. x = 3.625 Simplifying x = 3.625
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