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Simplifying 6x + 3(x + -10) = 61 + -1(x + 1) Reorder the terms: 6x + 3(-10 + x) = 61 + -1(x + 1) 6x + (-10 * 3 + x * 3) = 61 + -1(x + 1) 6x + (-30 + 3x) = 61 + -1(x + 1) Reorder the terms: -30 + 6x + 3x = 61 + -1(x + 1) Combine like terms: 6x + 3x = 9x -30 + 9x = 61 + -1(x + 1) Reorder the terms: -30 + 9x = 61 + -1(1 + x) -30 + 9x = 61 + (1 * -1 + x * -1) -30 + 9x = 61 + (-1 + -1x) Combine like terms: 61 + -1 = 60 -30 + 9x = 60 + -1x Solving -30 + 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. -30 + 9x + x = 60 + -1x + x Combine like terms: 9x + x = 10x -30 + 10x = 60 + -1x + x Combine like terms: -1x + x = 0 -30 + 10x = 60 + 0 -30 + 10x = 60 Add '30' to each side of the equation. -30 + 30 + 10x = 60 + 30 Combine like terms: -30 + 30 = 0 0 + 10x = 60 + 30 10x = 60 + 30 Combine like terms: 60 + 30 = 90 10x = 90 Divide each side by '10'. x = 9 Simplifying x = 9
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