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Simplifying 6 + 1 + -2x + 5x = x + -7 Combine like terms: 6 + 1 = 7 7 + -2x + 5x = x + -7 Combine like terms: -2x + 5x = 3x 7 + 3x = x + -7 Reorder the terms: 7 + 3x = -7 + x Solving 7 + 3x = -7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 3x + -1x = -7 + x + -1x Combine like terms: 3x + -1x = 2x 7 + 2x = -7 + x + -1x Combine like terms: x + -1x = 0 7 + 2x = -7 + 0 7 + 2x = -7 Add '-7' to each side of the equation. 7 + -7 + 2x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = -7 + -7 2x = -7 + -7 Combine like terms: -7 + -7 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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