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Simplifying 7(x + -1) = 8x + 14 Reorder the terms: 7(-1 + x) = 8x + 14 (-1 * 7 + x * 7) = 8x + 14 (-7 + 7x) = 8x + 14 Reorder the terms: -7 + 7x = 14 + 8x Solving -7 + 7x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 7x + -8x = 14 + 8x + -8x Combine like terms: 7x + -8x = -1x -7 + -1x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -1x = 14 + 0 -7 + -1x = 14 Add '7' to each side of the equation. -7 + 7 + -1x = 14 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 14 + 7 -1x = 14 + 7 Combine like terms: 14 + 7 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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