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Simplifying (10 + x) = (10 + -1x) + (15 + x) + (13 + -1x) + (12 + -1x) + (28 + x) + (x) Remove parenthesis around (10 + x) 10 + x = (10 + -1x) + (15 + x) + (13 + -1x) + (12 + -1x) + (28 + x) + (x) Remove parenthesis around (10 + -1x) 10 + x = 10 + -1x + (15 + x) + (13 + -1x) + (12 + -1x) + (28 + x) + (x) Remove parenthesis around (15 + x) 10 + x = 10 + -1x + 15 + x + (13 + -1x) + (12 + -1x) + (28 + x) + (x) Remove parenthesis around (13 + -1x) 10 + x = 10 + -1x + 15 + x + 13 + -1x + (12 + -1x) + (28 + x) + (x) Remove parenthesis around (12 + -1x) 10 + x = 10 + -1x + 15 + x + 13 + -1x + 12 + -1x + (28 + x) + (x) Remove parenthesis around (28 + x) 10 + x = 10 + -1x + 15 + x + 13 + -1x + 12 + -1x + 28 + x + (x) 10 + x = 10 + -1x + 15 + x + 13 + -1x + 12 + -1x + 28 + x + x Reorder the terms: 10 + x = 10 + 15 + 13 + 12 + 28 + -1x + x + -1x + -1x + x + x Combine like terms: 10 + 15 = 25 10 + x = 25 + 13 + 12 + 28 + -1x + x + -1x + -1x + x + x Combine like terms: 25 + 13 = 38 10 + x = 38 + 12 + 28 + -1x + x + -1x + -1x + x + x Combine like terms: 38 + 12 = 50 10 + x = 50 + 28 + -1x + x + -1x + -1x + x + x Combine like terms: 50 + 28 = 78 10 + x = 78 + -1x + x + -1x + -1x + x + x Combine like terms: -1x + x = 0 10 + x = 78 + 0 + -1x + -1x + x + x 10 + x = 78 + -1x + -1x + x + x Combine like terms: -1x + -1x = -2x 10 + x = 78 + -2x + x + x Combine like terms: -2x + x = -1x 10 + x = 78 + -1x + x Combine like terms: -1x + x = 0 10 + x = 78 + 0 10 + x = 78 Solving 10 + x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 78 + -10 Combine like terms: 10 + -10 = 0 0 + x = 78 + -10 x = 78 + -10 Combine like terms: 78 + -10 = 68 x = 68 Simplifying x = 68
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