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Simplifying 260 = (7x + 10) + -1(x + 2) Reorder the terms: 260 = (10 + 7x) + -1(x + 2) Remove parenthesis around (10 + 7x) 260 = 10 + 7x + -1(x + 2) Reorder the terms: 260 = 10 + 7x + -1(2 + x) 260 = 10 + 7x + (2 * -1 + x * -1) 260 = 10 + 7x + (-2 + -1x) Reorder the terms: 260 = 10 + -2 + 7x + -1x Combine like terms: 10 + -2 = 8 260 = 8 + 7x + -1x Combine like terms: 7x + -1x = 6x 260 = 8 + 6x Solving 260 = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 260 + -6x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 260 + -6x = 8 + 0 260 + -6x = 8 Add '-260' to each side of the equation. 260 + -260 + -6x = 8 + -260 Combine like terms: 260 + -260 = 0 0 + -6x = 8 + -260 -6x = 8 + -260 Combine like terms: 8 + -260 = -252 -6x = -252 Divide each side by '-6'. x = 42 Simplifying x = 42
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