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Simplifying 3 + -1(x + 5) = 3x + 6 Reorder the terms: 3 + -1(5 + x) = 3x + 6 3 + (5 * -1 + x * -1) = 3x + 6 3 + (-5 + -1x) = 3x + 6 Combine like terms: 3 + -5 = -2 -2 + -1x = 3x + 6 Reorder the terms: -2 + -1x = 6 + 3x Solving -2 + -1x = 6 + 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. -2 + -1x + -3x = 6 + 3x + -3x Combine like terms: -1x + -3x = -4x -2 + -4x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -4x = 6 + 0 -2 + -4x = 6 Add '2' to each side of the equation. -2 + 2 + -4x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 6 + 2 -4x = 6 + 2 Combine like terms: 6 + 2 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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