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Simplifying 8x + 2 + 7x + 7 = 13x + 5 Reorder the terms: 2 + 7 + 8x + 7x = 13x + 5 Combine like terms: 2 + 7 = 9 9 + 8x + 7x = 13x + 5 Combine like terms: 8x + 7x = 15x 9 + 15x = 13x + 5 Reorder the terms: 9 + 15x = 5 + 13x Solving 9 + 15x = 5 + 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. 9 + 15x + -13x = 5 + 13x + -13x Combine like terms: 15x + -13x = 2x 9 + 2x = 5 + 13x + -13x Combine like terms: 13x + -13x = 0 9 + 2x = 5 + 0 9 + 2x = 5 Add '-9' to each side of the equation. 9 + -9 + 2x = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 5 + -9 2x = 5 + -9 Combine like terms: 5 + -9 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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