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Simplifying 7x + -5x + -7x + 1 = 6x + -6x + -7 Reorder the terms: 1 + 7x + -5x + -7x = 6x + -6x + -7 Combine like terms: 7x + -5x = 2x 1 + 2x + -7x = 6x + -6x + -7 Combine like terms: 2x + -7x = -5x 1 + -5x = 6x + -6x + -7 Reorder the terms: 1 + -5x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -5x = -7 + 0 1 + -5x = -7 Solving 1 + -5x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = -7 + -1 -5x = -7 + -1 Combine like terms: -7 + -1 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6
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