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Simplifying 5x + 4(x + -10) = 61 + -1(x + 1) Reorder the terms: 5x + 4(-10 + x) = 61 + -1(x + 1) 5x + (-10 * 4 + x * 4) = 61 + -1(x + 1) 5x + (-40 + 4x) = 61 + -1(x + 1) Reorder the terms: -40 + 5x + 4x = 61 + -1(x + 1) Combine like terms: 5x + 4x = 9x -40 + 9x = 61 + -1(x + 1) Reorder the terms: -40 + 9x = 61 + -1(1 + x) -40 + 9x = 61 + (1 * -1 + x * -1) -40 + 9x = 61 + (-1 + -1x) Combine like terms: 61 + -1 = 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 = 100 10x = 100 Divide each side by '10'. x = 10 Simplifying x = 10
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