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Simplifying 8(x + 8) + x = 2(x + 5) + 2 Reorder the terms: 8(8 + x) + x = 2(x + 5) + 2 (8 * 8 + x * 8) + x = 2(x + 5) + 2 (64 + 8x) + x = 2(x + 5) + 2 Combine like terms: 8x + x = 9x 64 + 9x = 2(x + 5) + 2 Reorder the terms: 64 + 9x = 2(5 + x) + 2 64 + 9x = (5 * 2 + x * 2) + 2 64 + 9x = (10 + 2x) + 2 Reorder the terms: 64 + 9x = 10 + 2 + 2x Combine like terms: 10 + 2 = 12 64 + 9x = 12 + 2x Solving 64 + 9x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 64 + 9x + -2x = 12 + 2x + -2x Combine like terms: 9x + -2x = 7x 64 + 7x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 64 + 7x = 12 + 0 64 + 7x = 12 Add '-64' to each side of the equation. 64 + -64 + 7x = 12 + -64 Combine like terms: 64 + -64 = 0 0 + 7x = 12 + -64 7x = 12 + -64 Combine like terms: 12 + -64 = -52 7x = -52 Divide each side by '7'. x = -7.428571429 Simplifying x = -7.428571429
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