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Simplifying (8)(8 + [x + 3]) = (10)(10 + [x + -3]) Reorder the terms: 8(8 + [3 + x]) = (10)(10 + [x + -3]) Remove brackets around [3 + x] 8(8 + 3 + x) = (10)(10 + [x + -3]) Combine like terms: 8 + 3 = 11 8(11 + x) = (10)(10 + [x + -3]) (11 * 8 + x * 8) = (10)(10 + [x + -3]) (88 + 8x) = (10)(10 + [x + -3]) Reorder the terms: 88 + 8x = 10(10 + [-3 + x]) Remove brackets around [-3 + x] 88 + 8x = 10(10 + -3 + x) Combine like terms: 10 + -3 = 7 88 + 8x = 10(7 + x) 88 + 8x = (7 * 10 + x * 10) 88 + 8x = (70 + 10x) Solving 88 + 8x = 70 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 88 + 8x + -10x = 70 + 10x + -10x Combine like terms: 8x + -10x = -2x 88 + -2x = 70 + 10x + -10x Combine like terms: 10x + -10x = 0 88 + -2x = 70 + 0 88 + -2x = 70 Add '-88' to each side of the equation. 88 + -88 + -2x = 70 + -88 Combine like terms: 88 + -88 = 0 0 + -2x = 70 + -88 -2x = 70 + -88 Combine like terms: 70 + -88 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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