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Simplifying (5 + -1x) + -1(10 + -2x) = 6 + -1x + -5 Remove parenthesis around (5 + -1x) 5 + -1x + -1(10 + -2x) = 6 + -1x + -5 5 + -1x + (10 * -1 + -2x * -1) = 6 + -1x + -5 5 + -1x + (-10 + 2x) = 6 + -1x + -5 Reorder the terms: 5 + -10 + -1x + 2x = 6 + -1x + -5 Combine like terms: 5 + -10 = -5 -5 + -1x + 2x = 6 + -1x + -5 Combine like terms: -1x + 2x = 1x -5 + 1x = 6 + -1x + -5 Reorder the terms: -5 + 1x = 6 + -5 + -1x Combine like terms: 6 + -5 = 1 -5 + 1x = 1 + -1x Solving -5 + 1x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 1x + x = 1 + -1x + x Combine like terms: 1x + x = 2x -5 + 2x = 1 + -1x + x Combine like terms: -1x + x = 0 -5 + 2x = 1 + 0 -5 + 2x = 1 Add '5' to each side of the equation. -5 + 5 + 2x = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 1 + 5 2x = 1 + 5 Combine like terms: 1 + 5 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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