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Simplifying 2x + -6 + -1(5x + 1) = 4 + -2x + -1(3x + -1) Reorder the terms: 2x + -6 + -1(1 + 5x) = 4 + -2x + -1(3x + -1) 2x + -6 + (1 * -1 + 5x * -1) = 4 + -2x + -1(3x + -1) 2x + -6 + (-1 + -5x) = 4 + -2x + -1(3x + -1) Reorder the terms: -6 + -1 + 2x + -5x = 4 + -2x + -1(3x + -1) Combine like terms: -6 + -1 = -7 -7 + 2x + -5x = 4 + -2x + -1(3x + -1) Combine like terms: 2x + -5x = -3x -7 + -3x = 4 + -2x + -1(3x + -1) Reorder the terms: -7 + -3x = 4 + -2x + -1(-1 + 3x) -7 + -3x = 4 + -2x + (-1 * -1 + 3x * -1) -7 + -3x = 4 + -2x + (1 + -3x) Reorder the terms: -7 + -3x = 4 + 1 + -2x + -3x Combine like terms: 4 + 1 = 5 -7 + -3x = 5 + -2x + -3x Combine like terms: -2x + -3x = -5x -7 + -3x = 5 + -5x Solving -7 + -3x = 5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -7 + -3x + 5x = 5 + -5x + 5x Combine like terms: -3x + 5x = 2x -7 + 2x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 2x = 5 + 0 -7 + 2x = 5 Add '7' to each side of the equation. -7 + 7 + 2x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 5 + 7 2x = 5 + 7 Combine like terms: 5 + 7 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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