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Simplifying 2x + -4 + 7 = -6x + 41 Reorder the terms: -4 + 7 + 2x = -6x + 41 Combine like terms: -4 + 7 = 3 3 + 2x = -6x + 41 Reorder the terms: 3 + 2x = 41 + -6x Solving 3 + 2x = 41 + -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. 3 + 2x + 6x = 41 + -6x + 6x Combine like terms: 2x + 6x = 8x 3 + 8x = 41 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 8x = 41 + 0 3 + 8x = 41 Add '-3' to each side of the equation. 3 + -3 + 8x = 41 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 41 + -3 8x = 41 + -3 Combine like terms: 41 + -3 = 38 8x = 38 Divide each side by '8'. x = 4.75 Simplifying x = 4.75
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