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Simplifying 2(x + 3) + -5(1 + -1x) = 6 + -1(2x + 3) Reorder the terms: 2(3 + x) + -5(1 + -1x) = 6 + -1(2x + 3) (3 * 2 + x * 2) + -5(1 + -1x) = 6 + -1(2x + 3) (6 + 2x) + -5(1 + -1x) = 6 + -1(2x + 3) 6 + 2x + (1 * -5 + -1x * -5) = 6 + -1(2x + 3) 6 + 2x + (-5 + 5x) = 6 + -1(2x + 3) Reorder the terms: 6 + -5 + 2x + 5x = 6 + -1(2x + 3) Combine like terms: 6 + -5 = 1 1 + 2x + 5x = 6 + -1(2x + 3) Combine like terms: 2x + 5x = 7x 1 + 7x = 6 + -1(2x + 3) Reorder the terms: 1 + 7x = 6 + -1(3 + 2x) 1 + 7x = 6 + (3 * -1 + 2x * -1) 1 + 7x = 6 + (-3 + -2x) Combine like terms: 6 + -3 = 3 1 + 7x = 3 + -2x Solving 1 + 7x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + 7x + 2x = 3 + -2x + 2x Combine like terms: 7x + 2x = 9x 1 + 9x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 9x = 3 + 0 1 + 9x = 3 Add '-1' to each side of the equation. 1 + -1 + 9x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 3 + -1 9x = 3 + -1 Combine like terms: 3 + -1 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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