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Simplifying 5x + 4x + -20 = 62 + -1(x + 2) Reorder the terms: -20 + 5x + 4x = 62 + -1(x + 2) Combine like terms: 5x + 4x = 9x -20 + 9x = 62 + -1(x + 2) Reorder the terms: -20 + 9x = 62 + -1(2 + x) -20 + 9x = 62 + (2 * -1 + x * -1) -20 + 9x = 62 + (-2 + -1x) Combine like terms: 62 + -2 = 60 -20 + 9x = 60 + -1x Solving -20 + 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. -20 + 9x + x = 60 + -1x + x Combine like terms: 9x + x = 10x -20 + 10x = 60 + -1x + x Combine like terms: -1x + x = 0 -20 + 10x = 60 + 0 -20 + 10x = 60 Add '20' to each side of the equation. -20 + 20 + 10x = 60 + 20 Combine like terms: -20 + 20 = 0 0 + 10x = 60 + 20 10x = 60 + 20 Combine like terms: 60 + 20 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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