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Simplifying 2x + 2 + 5x = 6x + 9 + 7x + -1 Reorder the terms: 2 + 2x + 5x = 6x + 9 + 7x + -1 Combine like terms: 2x + 5x = 7x 2 + 7x = 6x + 9 + 7x + -1 Reorder the terms: 2 + 7x = 9 + -1 + 6x + 7x Combine like terms: 9 + -1 = 8 2 + 7x = 8 + 6x + 7x Combine like terms: 6x + 7x = 13x 2 + 7x = 8 + 13x Solving 2 + 7x = 8 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 2 + 7x + -13x = 8 + 13x + -13x Combine like terms: 7x + -13x = -6x 2 + -6x = 8 + 13x + -13x Combine like terms: 13x + -13x = 0 2 + -6x = 8 + 0 2 + -6x = 8 Add '-2' to each side of the equation. 2 + -2 + -6x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 8 + -2 -6x = 8 + -2 Combine like terms: 8 + -2 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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