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Simplifying 6 + 2x + -1 = 7x + 7 + -4x Reorder the terms: 6 + -1 + 2x = 7x + 7 + -4x Combine like terms: 6 + -1 = 5 5 + 2x = 7x + 7 + -4x Reorder the terms: 5 + 2x = 7 + 7x + -4x Combine like terms: 7x + -4x = 3x 5 + 2x = 7 + 3x Solving 5 + 2x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 2x + -3x = 7 + 3x + -3x Combine like terms: 2x + -3x = -1x 5 + -1x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -1x = 7 + 0 5 + -1x = 7 Add '-5' to each side of the equation. 5 + -5 + -1x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 7 + -5 -1x = 7 + -5 Combine like terms: 7 + -5 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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