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Simplifying 2x + -42 = -6x + 14 Reorder the terms: -42 + 2x = -6x + 14 Reorder the terms: -42 + 2x = 14 + -6x Solving -42 + 2x = 14 + -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. -42 + 2x + 6x = 14 + -6x + 6x Combine like terms: 2x + 6x = 8x -42 + 8x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 -42 + 8x = 14 + 0 -42 + 8x = 14 Add '42' to each side of the equation. -42 + 42 + 8x = 14 + 42 Combine like terms: -42 + 42 = 0 0 + 8x = 14 + 42 8x = 14 + 42 Combine like terms: 14 + 42 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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