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Simplifying 7(X + -8) + 14 = 3(X + -6) Reorder the terms: 7(-8 + X) + 14 = 3(X + -6) (-8 * 7 + X * 7) + 14 = 3(X + -6) (-56 + 7X) + 14 = 3(X + -6) Reorder the terms: -56 + 14 + 7X = 3(X + -6) Combine like terms: -56 + 14 = -42 -42 + 7X = 3(X + -6) Reorder the terms: -42 + 7X = 3(-6 + X) -42 + 7X = (-6 * 3 + X * 3) -42 + 7X = (-18 + 3X) Solving -42 + 7X = -18 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. -42 + 7X + -3X = -18 + 3X + -3X Combine like terms: 7X + -3X = 4X -42 + 4X = -18 + 3X + -3X Combine like terms: 3X + -3X = 0 -42 + 4X = -18 + 0 -42 + 4X = -18 Add '42' to each side of the equation. -42 + 42 + 4X = -18 + 42 Combine like terms: -42 + 42 = 0 0 + 4X = -18 + 42 4X = -18 + 42 Combine like terms: -18 + 42 = 24 4X = 24 Divide each side by '4'. X = 6 Simplifying X = 6
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