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Simplifying 6x + -7 = -2x + 41 Reorder the terms: -7 + 6x = -2x + 41 Reorder the terms: -7 + 6x = 41 + -2x Solving -7 + 6x = 41 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + 6x + 2x = 41 + -2x + 2x Combine like terms: 6x + 2x = 8x -7 + 8x = 41 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 8x = 41 + 0 -7 + 8x = 41 Add '7' to each side of the equation. -7 + 7 + 8x = 41 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 41 + 7 8x = 41 + 7 Combine like terms: 41 + 7 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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