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Simplifying 4 + (x + -5) = -35 + -1(5x + -4) Reorder the terms: 4 + (-5 + x) = -35 + -1(5x + -4) Remove parenthesis around (-5 + x) 4 + -5 + x = -35 + -1(5x + -4) Combine like terms: 4 + -5 = -1 -1 + x = -35 + -1(5x + -4) Reorder the terms: -1 + x = -35 + -1(-4 + 5x) -1 + x = -35 + (-4 * -1 + 5x * -1) -1 + x = -35 + (4 + -5x) Combine like terms: -35 + 4 = -31 -1 + x = -31 + -5x Solving -1 + x = -31 + -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. -1 + x + 5x = -31 + -5x + 5x Combine like terms: x + 5x = 6x -1 + 6x = -31 + -5x + 5x Combine like terms: -5x + 5x = 0 -1 + 6x = -31 + 0 -1 + 6x = -31 Add '1' to each side of the equation. -1 + 1 + 6x = -31 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = -31 + 1 6x = -31 + 1 Combine like terms: -31 + 1 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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