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Simplifying 35 + 6 = -18 + 2x + 14 + -7x Combine like terms: 35 + 6 = 41 41 = -18 + 2x + 14 + -7x Reorder the terms: 41 = -18 + 14 + 2x + -7x Combine like terms: -18 + 14 = -4 41 = -4 + 2x + -7x Combine like terms: 2x + -7x = -5x 41 = -4 + -5x Solving 41 = -4 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 41 + 5x = -4 + -5x + 5x Combine like terms: -5x + 5x = 0 41 + 5x = -4 + 0 41 + 5x = -4 Add '-41' to each side of the equation. 41 + -41 + 5x = -4 + -41 Combine like terms: 41 + -41 = 0 0 + 5x = -4 + -41 5x = -4 + -41 Combine like terms: -4 + -41 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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