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