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Simplifying 7(x + 3) + 2(3x + -1) = 10 + -5(x + -2) Reorder the terms: 7(3 + x) + 2(3x + -1) = 10 + -5(x + -2) (3 * 7 + x * 7) + 2(3x + -1) = 10 + -5(x + -2) (21 + 7x) + 2(3x + -1) = 10 + -5(x + -2) Reorder the terms: 21 + 7x + 2(-1 + 3x) = 10 + -5(x + -2) 21 + 7x + (-1 * 2 + 3x * 2) = 10 + -5(x + -2) 21 + 7x + (-2 + 6x) = 10 + -5(x + -2) Reorder the terms: 21 + -2 + 7x + 6x = 10 + -5(x + -2) Combine like terms: 21 + -2 = 19 19 + 7x + 6x = 10 + -5(x + -2) Combine like terms: 7x + 6x = 13x 19 + 13x = 10 + -5(x + -2) Reorder the terms: 19 + 13x = 10 + -5(-2 + x) 19 + 13x = 10 + (-2 * -5 + x * -5) 19 + 13x = 10 + (10 + -5x) Combine like terms: 10 + 10 = 20 19 + 13x = 20 + -5x Solving 19 + 13x = 20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 19 + 13x + 5x = 20 + -5x + 5x Combine like terms: 13x + 5x = 18x 19 + 18x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 19 + 18x = 20 + 0 19 + 18x = 20 Add '-19' to each side of the equation. 19 + -19 + 18x = 20 + -19 Combine like terms: 19 + -19 = 0 0 + 18x = 20 + -19 18x = 20 + -19 Combine like terms: 20 + -19 = 1 18x = 1 Divide each side by '18'. x = 0.05555555556 Simplifying x = 0.05555555556
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