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Simplifying 2(x + -6) + -34 = 2 + -6x Reorder the terms: 2(-6 + x) + -34 = 2 + -6x (-6 * 2 + x * 2) + -34 = 2 + -6x (-12 + 2x) + -34 = 2 + -6x Reorder the terms: -12 + -34 + 2x = 2 + -6x Combine like terms: -12 + -34 = -46 -46 + 2x = 2 + -6x Solving -46 + 2x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -46 + 2x + 6x = 2 + -6x + 6x Combine like terms: 2x + 6x = 8x -46 + 8x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -46 + 8x = 2 + 0 -46 + 8x = 2 Add '46' to each side of the equation. -46 + 46 + 8x = 2 + 46 Combine like terms: -46 + 46 = 0 0 + 8x = 2 + 46 8x = 2 + 46 Combine like terms: 2 + 46 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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