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Simplifying 5(2 + x) + 2x = 20 + -1(2x + 6) (2 * 5 + x * 5) + 2x = 20 + -1(2x + 6) (10 + 5x) + 2x = 20 + -1(2x + 6) Combine like terms: 5x + 2x = 7x 10 + 7x = 20 + -1(2x + 6) Reorder the terms: 10 + 7x = 20 + -1(6 + 2x) 10 + 7x = 20 + (6 * -1 + 2x * -1) 10 + 7x = 20 + (-6 + -2x) Combine like terms: 20 + -6 = 14 10 + 7x = 14 + -2x Solving 10 + 7x = 14 + -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. 10 + 7x + 2x = 14 + -2x + 2x Combine like terms: 7x + 2x = 9x 10 + 9x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 9x = 14 + 0 10 + 9x = 14 Add '-10' to each side of the equation. 10 + -10 + 9x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 14 + -10 9x = 14 + -10 Combine like terms: 14 + -10 = 4 9x = 4 Divide each side by '9'. x = 0.4444444444 Simplifying x = 0.4444444444
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