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Simplifying 11 + -2(x + -3) = 1 + -3(x + -5) Reorder the terms: 11 + -2(-3 + x) = 1 + -3(x + -5) 11 + (-3 * -2 + x * -2) = 1 + -3(x + -5) 11 + (6 + -2x) = 1 + -3(x + -5) Combine like terms: 11 + 6 = 17 17 + -2x = 1 + -3(x + -5) Reorder the terms: 17 + -2x = 1 + -3(-5 + x) 17 + -2x = 1 + (-5 * -3 + x * -3) 17 + -2x = 1 + (15 + -3x) Combine like terms: 1 + 15 = 16 17 + -2x = 16 + -3x Solving 17 + -2x = 16 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 17 + -2x + 3x = 16 + -3x + 3x Combine like terms: -2x + 3x = 1x 17 + 1x = 16 + -3x + 3x Combine like terms: -3x + 3x = 0 17 + 1x = 16 + 0 17 + 1x = 16 Add '-17' to each side of the equation. 17 + -17 + 1x = 16 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 16 + -17 1x = 16 + -17 Combine like terms: 16 + -17 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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