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Simplifying 6 + -1(x + 1) = 2 + -3(2x + -6) Reorder the terms: 6 + -1(1 + x) = 2 + -3(2x + -6) 6 + (1 * -1 + x * -1) = 2 + -3(2x + -6) 6 + (-1 + -1x) = 2 + -3(2x + -6) Combine like terms: 6 + -1 = 5 5 + -1x = 2 + -3(2x + -6) Reorder the terms: 5 + -1x = 2 + -3(-6 + 2x) 5 + -1x = 2 + (-6 * -3 + 2x * -3) 5 + -1x = 2 + (18 + -6x) Combine like terms: 2 + 18 = 20 5 + -1x = 20 + -6x Solving 5 + -1x = 20 + -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. 5 + -1x + 6x = 20 + -6x + 6x Combine like terms: -1x + 6x = 5x 5 + 5x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 5 + 5x = 20 + 0 5 + 5x = 20 Add '-5' to each side of the equation. 5 + -5 + 5x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 20 + -5 5x = 20 + -5 Combine like terms: 20 + -5 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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