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Simplifying 2x + -9 + -1(3x + 1) = 5x + -1(4x + -2) Reorder the terms: 2x + -9 + -1(1 + 3x) = 5x + -1(4x + -2) 2x + -9 + (1 * -1 + 3x * -1) = 5x + -1(4x + -2) 2x + -9 + (-1 + -3x) = 5x + -1(4x + -2) Reorder the terms: -9 + -1 + 2x + -3x = 5x + -1(4x + -2) Combine like terms: -9 + -1 = -10 -10 + 2x + -3x = 5x + -1(4x + -2) Combine like terms: 2x + -3x = -1x -10 + -1x = 5x + -1(4x + -2) Reorder the terms: -10 + -1x = 5x + -1(-2 + 4x) -10 + -1x = 5x + (-2 * -1 + 4x * -1) -10 + -1x = 5x + (2 + -4x) Reorder the terms: -10 + -1x = 2 + 5x + -4x Combine like terms: 5x + -4x = 1x -10 + -1x = 2 + 1x Solving -10 + -1x = 2 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + -1x + -1x = 2 + 1x + -1x Combine like terms: -1x + -1x = -2x -10 + -2x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -10 + -2x = 2 + 0 -10 + -2x = 2 Add '10' to each side of the equation. -10 + 10 + -2x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 2 + 10 -2x = 2 + 10 Combine like terms: 2 + 10 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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