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Simplifying 8(x + 9) + 10 = 3(x + 9) + 10 Reorder the terms: 8(9 + x) + 10 = 3(x + 9) + 10 (9 * 8 + x * 8) + 10 = 3(x + 9) + 10 (72 + 8x) + 10 = 3(x + 9) + 10 Reorder the terms: 72 + 10 + 8x = 3(x + 9) + 10 Combine like terms: 72 + 10 = 82 82 + 8x = 3(x + 9) + 10 Reorder the terms: 82 + 8x = 3(9 + x) + 10 82 + 8x = (9 * 3 + x * 3) + 10 82 + 8x = (27 + 3x) + 10 Reorder the terms: 82 + 8x = 27 + 10 + 3x Combine like terms: 27 + 10 = 37 82 + 8x = 37 + 3x Solving 82 + 8x = 37 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 82 + 8x + -3x = 37 + 3x + -3x Combine like terms: 8x + -3x = 5x 82 + 5x = 37 + 3x + -3x Combine like terms: 3x + -3x = 0 82 + 5x = 37 + 0 82 + 5x = 37 Add '-82' to each side of the equation. 82 + -82 + 5x = 37 + -82 Combine like terms: 82 + -82 = 0 0 + 5x = 37 + -82 5x = 37 + -82 Combine like terms: 37 + -82 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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