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Simplifying 6x + -2(-1x + 7) = 42 Reorder the terms: 6x + -2(7 + -1x) = 42 6x + (7 * -2 + -1x * -2) = 42 6x + (-14 + 2x) = 42 Reorder the terms: -14 + 6x + 2x = 42 Combine like terms: 6x + 2x = 8x -14 + 8x = 42 Solving -14 + 8x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 8x = 42 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 42 + 14 8x = 42 + 14 Combine like terms: 42 + 14 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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