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Simplifying 7x + 2(x + 20) = 62 + -1(x + 2) Reorder the terms: 7x + 2(20 + x) = 62 + -1(x + 2) 7x + (20 * 2 + x * 2) = 62 + -1(x + 2) 7x + (40 + 2x) = 62 + -1(x + 2) Reorder the terms: 40 + 7x + 2x = 62 + -1(x + 2) Combine like terms: 7x + 2x = 9x 40 + 9x = 62 + -1(x + 2) Reorder the terms: 40 + 9x = 62 + -1(2 + x) 40 + 9x = 62 + (2 * -1 + x * -1) 40 + 9x = 62 + (-2 + -1x) Combine like terms: 62 + -2 = 60 40 + 9x = 60 + -1x Solving 40 + 9x = 60 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 40 + 9x + x = 60 + -1x + x Combine like terms: 9x + x = 10x 40 + 10x = 60 + -1x + x Combine like terms: -1x + x = 0 40 + 10x = 60 + 0 40 + 10x = 60 Add '-40' to each side of the equation. 40 + -40 + 10x = 60 + -40 Combine like terms: 40 + -40 = 0 0 + 10x = 60 + -40 10x = 60 + -40 Combine like terms: 60 + -40 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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