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Simplifying 8x + 5 + 7x + 2 = 9x + 10 + 2x + 1 Reorder the terms: 5 + 2 + 8x + 7x = 9x + 10 + 2x + 1 Combine like terms: 5 + 2 = 7 7 + 8x + 7x = 9x + 10 + 2x + 1 Combine like terms: 8x + 7x = 15x 7 + 15x = 9x + 10 + 2x + 1 Reorder the terms: 7 + 15x = 10 + 1 + 9x + 2x Combine like terms: 10 + 1 = 11 7 + 15x = 11 + 9x + 2x Combine like terms: 9x + 2x = 11x 7 + 15x = 11 + 11x Solving 7 + 15x = 11 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 7 + 15x + -11x = 11 + 11x + -11x Combine like terms: 15x + -11x = 4x 7 + 4x = 11 + 11x + -11x Combine like terms: 11x + -11x = 0 7 + 4x = 11 + 0 7 + 4x = 11 Add '-7' to each side of the equation. 7 + -7 + 4x = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 11 + -7 4x = 11 + -7 Combine like terms: 11 + -7 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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