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Simplifying 5x + 4(x + -20) = 62 + -1(x + 2) Reorder the terms: 5x + 4(-20 + x) = 62 + -1(x + 2) 5x + (-20 * 4 + x * 4) = 62 + -1(x + 2) 5x + (-80 + 4x) = 62 + -1(x + 2) Reorder the terms: -80 + 5x + 4x = 62 + -1(x + 2) Combine like terms: 5x + 4x = 9x -80 + 9x = 62 + -1(x + 2) Reorder the terms: -80 + 9x = 62 + -1(2 + x) -80 + 9x = 62 + (2 * -1 + x * -1) -80 + 9x = 62 + (-2 + -1x) Combine like terms: 62 + -2 = 60 -80 + 9x = 60 + -1x Solving -80 + 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. -80 + 9x + x = 60 + -1x + x Combine like terms: 9x + x = 10x -80 + 10x = 60 + -1x + x Combine like terms: -1x + x = 0 -80 + 10x = 60 + 0 -80 + 10x = 60 Add '80' to each side of the equation. -80 + 80 + 10x = 60 + 80 Combine like terms: -80 + 80 = 0 0 + 10x = 60 + 80 10x = 60 + 80 Combine like terms: 60 + 80 = 140 10x = 140 Divide each side by '10'. x = 14 Simplifying x = 14
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