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Simplifying 7(X + -18) = 8(X + -14) Reorder the terms: 7(-18 + X) = 8(X + -14) (-18 * 7 + X * 7) = 8(X + -14) (-126 + 7X) = 8(X + -14) Reorder the terms: -126 + 7X = 8(-14 + X) -126 + 7X = (-14 * 8 + X * 8) -126 + 7X = (-112 + 8X) Solving -126 + 7X = -112 + 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. -126 + 7X + -8X = -112 + 8X + -8X Combine like terms: 7X + -8X = -1X -126 + -1X = -112 + 8X + -8X Combine like terms: 8X + -8X = 0 -126 + -1X = -112 + 0 -126 + -1X = -112 Add '126' to each side of the equation. -126 + 126 + -1X = -112 + 126 Combine like terms: -126 + 126 = 0 0 + -1X = -112 + 126 -1X = -112 + 126 Combine like terms: -112 + 126 = 14 -1X = 14 Divide each side by '-1'. X = -14 Simplifying X = -14
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