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Simplifying 3(x + -2) = 42 + -5x Reorder the terms: 3(-2 + x) = 42 + -5x (-2 * 3 + x * 3) = 42 + -5x (-6 + 3x) = 42 + -5x Solving -6 + 3x = 42 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + 3x + 5x = 42 + -5x + 5x Combine like terms: 3x + 5x = 8x -6 + 8x = 42 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 8x = 42 + 0 -6 + 8x = 42 Add '6' to each side of the equation. -6 + 6 + 8x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 42 + 6 8x = 42 + 6 Combine like terms: 42 + 6 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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