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Simplifying 2x + 7 = 6x + -2(3x + -1) Reorder the terms: 7 + 2x = 6x + -2(3x + -1) Reorder the terms: 7 + 2x = 6x + -2(-1 + 3x) 7 + 2x = 6x + (-1 * -2 + 3x * -2) 7 + 2x = 6x + (2 + -6x) Reorder the terms: 7 + 2x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 2x = 2 + 0 7 + 2x = 2 Solving 7 + 2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 2 + -7 2x = 2 + -7 Combine like terms: 2 + -7 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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