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Simplifying 3X + -42 = 8(X + 1) Reorder the terms: -42 + 3X = 8(X + 1) Reorder the terms: -42 + 3X = 8(1 + X) -42 + 3X = (1 * 8 + X * 8) -42 + 3X = (8 + 8X) Solving -42 + 3X = 8 + 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. -42 + 3X + -8X = 8 + 8X + -8X Combine like terms: 3X + -8X = -5X -42 + -5X = 8 + 8X + -8X Combine like terms: 8X + -8X = 0 -42 + -5X = 8 + 0 -42 + -5X = 8 Add '42' to each side of the equation. -42 + 42 + -5X = 8 + 42 Combine like terms: -42 + 42 = 0 0 + -5X = 8 + 42 -5X = 8 + 42 Combine like terms: 8 + 42 = 50 -5X = 50 Divide each side by '-5'. X = -10 Simplifying X = -10
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