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Simplifying 2x + 6 + -7x = 35 + 2x + -15 Reorder the terms: 6 + 2x + -7x = 35 + 2x + -15 Combine like terms: 2x + -7x = -5x 6 + -5x = 35 + 2x + -15 Reorder the terms: 6 + -5x = 35 + -15 + 2x Combine like terms: 35 + -15 = 20 6 + -5x = 20 + 2x Solving 6 + -5x = 20 + 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. 6 + -5x + -2x = 20 + 2x + -2x Combine like terms: -5x + -2x = -7x 6 + -7x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -7x = 20 + 0 6 + -7x = 20 Add '-6' to each side of the equation. 6 + -6 + -7x = 20 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 20 + -6 -7x = 20 + -6 Combine like terms: 20 + -6 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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