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Simplifying 8(4 + x) + x + 3 = 8(3 + x) + 2 (4 * 8 + x * 8) + x + 3 = 8(3 + x) + 2 (32 + 8x) + x + 3 = 8(3 + x) + 2 Reorder the terms: 32 + 3 + 8x + x = 8(3 + x) + 2 Combine like terms: 32 + 3 = 35 35 + 8x + x = 8(3 + x) + 2 Combine like terms: 8x + x = 9x 35 + 9x = 8(3 + x) + 2 35 + 9x = (3 * 8 + x * 8) + 2 35 + 9x = (24 + 8x) + 2 Reorder the terms: 35 + 9x = 24 + 2 + 8x Combine like terms: 24 + 2 = 26 35 + 9x = 26 + 8x Solving 35 + 9x = 26 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 35 + 9x + -8x = 26 + 8x + -8x Combine like terms: 9x + -8x = 1x 35 + 1x = 26 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + 1x = 26 + 0 35 + 1x = 26 Add '-35' to each side of the equation. 35 + -35 + 1x = 26 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 26 + -35 1x = 26 + -35 Combine like terms: 26 + -35 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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