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Simplifying 6x + 2 = x + -5 + x + -7 + 2x Reorder the terms: 2 + 6x = x + -5 + x + -7 + 2x Reorder the terms: 2 + 6x = -5 + -7 + x + x + 2x Combine like terms: -5 + -7 = -12 2 + 6x = -12 + x + x + 2x Combine like terms: x + x = 2x 2 + 6x = -12 + 2x + 2x Combine like terms: 2x + 2x = 4x 2 + 6x = -12 + 4x Solving 2 + 6x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 6x + -4x = -12 + 4x + -4x Combine like terms: 6x + -4x = 2x 2 + 2x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 2x = -12 + 0 2 + 2x = -12 Add '-2' to each side of the equation. 2 + -2 + 2x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -12 + -2 2x = -12 + -2 Combine like terms: -12 + -2 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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