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Simplifying 3(x + -2) = -3x + 42 Reorder the terms: 3(-2 + x) = -3x + 42 (-2 * 3 + x * 3) = -3x + 42 (-6 + 3x) = -3x + 42 Reorder the terms: -6 + 3x = 42 + -3x Solving -6 + 3x = 42 + -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. -6 + 3x + 3x = 42 + -3x + 3x Combine like terms: 3x + 3x = 6x -6 + 6x = 42 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 6x = 42 + 0 -6 + 6x = 42 Add '6' to each side of the equation. -6 + 6 + 6x = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 42 + 6 6x = 42 + 6 Combine like terms: 42 + 6 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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