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