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