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Simplifying 10x + -1(3x + 2) = 9x + -1(5x + -4) Reorder the terms: 10x + -1(2 + 3x) = 9x + -1(5x + -4) 10x + (2 * -1 + 3x * -1) = 9x + -1(5x + -4) 10x + (-2 + -3x) = 9x + -1(5x + -4) Reorder the terms: -2 + 10x + -3x = 9x + -1(5x + -4) Combine like terms: 10x + -3x = 7x -2 + 7x = 9x + -1(5x + -4) Reorder the terms: -2 + 7x = 9x + -1(-4 + 5x) -2 + 7x = 9x + (-4 * -1 + 5x * -1) -2 + 7x = 9x + (4 + -5x) Reorder the terms: -2 + 7x = 4 + 9x + -5x Combine like terms: 9x + -5x = 4x -2 + 7x = 4 + 4x Solving -2 + 7x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 7x + -4x = 4 + 4x + -4x Combine like terms: 7x + -4x = 3x -2 + 3x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 3x = 4 + 0 -2 + 3x = 4 Add '2' to each side of the equation. -2 + 2 + 3x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 4 + 2 3x = 4 + 2 Combine like terms: 4 + 2 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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