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Simplifying 7(8x + 3) + 2x = 15x + 10 Reorder the terms: 7(3 + 8x) + 2x = 15x + 10 (3 * 7 + 8x * 7) + 2x = 15x + 10 (21 + 56x) + 2x = 15x + 10 Combine like terms: 56x + 2x = 58x 21 + 58x = 15x + 10 Reorder the terms: 21 + 58x = 10 + 15x Solving 21 + 58x = 10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 21 + 58x + -15x = 10 + 15x + -15x Combine like terms: 58x + -15x = 43x 21 + 43x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 21 + 43x = 10 + 0 21 + 43x = 10 Add '-21' to each side of the equation. 21 + -21 + 43x = 10 + -21 Combine like terms: 21 + -21 = 0 0 + 43x = 10 + -21 43x = 10 + -21 Combine like terms: 10 + -21 = -11 43x = -11 Divide each side by '43'. x = -0.2558139535 Simplifying x = -0.2558139535
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