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Simplifying (y + 1) + -1(y + -9) = 2 + -7x + (10 + -1x) Reorder the terms: (1 + y) + -1(y + -9) = 2 + -7x + (10 + -1x) Remove parenthesis around (1 + y) 1 + y + -1(y + -9) = 2 + -7x + (10 + -1x) Reorder the terms: 1 + y + -1(-9 + y) = 2 + -7x + (10 + -1x) 1 + y + (-9 * -1 + y * -1) = 2 + -7x + (10 + -1x) 1 + y + (9 + -1y) = 2 + -7x + (10 + -1x) Reorder the terms: 1 + 9 + y + -1y = 2 + -7x + (10 + -1x) Combine like terms: 1 + 9 = 10 10 + y + -1y = 2 + -7x + (10 + -1x) Combine like terms: y + -1y = 0 10 + 0 = 2 + -7x + (10 + -1x) 10 = 2 + -7x + (10 + -1x) Remove parenthesis around (10 + -1x) 10 = 2 + -7x + 10 + -1x Reorder the terms: 10 = 2 + 10 + -7x + -1x Combine like terms: 2 + 10 = 12 10 = 12 + -7x + -1x Combine like terms: -7x + -1x = -8x 10 = 12 + -8x Solving 10 = 12 + -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. 10 + 8x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 8x = 12 + 0 10 + 8x = 12 Add '-10' to each side of the equation. 10 + -10 + 8x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 12 + -10 8x = 12 + -10 Combine like terms: 12 + -10 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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