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Simplifying 2(x + -6) = 42 + -4x Reorder the terms: 2(-6 + x) = 42 + -4x (-6 * 2 + x * 2) = 42 + -4x (-12 + 2x) = 42 + -4x Solving -12 + 2x = 42 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 2x + 4x = 42 + -4x + 4x Combine like terms: 2x + 4x = 6x -12 + 6x = 42 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 6x = 42 + 0 -12 + 6x = 42 Add '12' to each side of the equation. -12 + 12 + 6x = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 42 + 12 6x = 42 + 12 Combine like terms: 42 + 12 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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