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Simplifying 10x + -1(3x + 1) = 5(2x + -1) + -1(x + -8) Reorder the terms: 10x + -1(1 + 3x) = 5(2x + -1) + -1(x + -8) 10x + (1 * -1 + 3x * -1) = 5(2x + -1) + -1(x + -8) 10x + (-1 + -3x) = 5(2x + -1) + -1(x + -8) Reorder the terms: -1 + 10x + -3x = 5(2x + -1) + -1(x + -8) Combine like terms: 10x + -3x = 7x -1 + 7x = 5(2x + -1) + -1(x + -8) Reorder the terms: -1 + 7x = 5(-1 + 2x) + -1(x + -8) -1 + 7x = (-1 * 5 + 2x * 5) + -1(x + -8) -1 + 7x = (-5 + 10x) + -1(x + -8) Reorder the terms: -1 + 7x = -5 + 10x + -1(-8 + x) -1 + 7x = -5 + 10x + (-8 * -1 + x * -1) -1 + 7x = -5 + 10x + (8 + -1x) Reorder the terms: -1 + 7x = -5 + 8 + 10x + -1x Combine like terms: -5 + 8 = 3 -1 + 7x = 3 + 10x + -1x Combine like terms: 10x + -1x = 9x -1 + 7x = 3 + 9x Solving -1 + 7x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -1 + 7x + -9x = 3 + 9x + -9x Combine like terms: 7x + -9x = -2x -1 + -2x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -2x = 3 + 0 -1 + -2x = 3 Add '1' to each side of the equation. -1 + 1 + -2x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 3 + 1 -2x = 3 + 1 Combine like terms: 3 + 1 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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