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Simplifying 2x + -1(3x + 5) = 5x + -35 Reorder the terms: 2x + -1(5 + 3x) = 5x + -35 2x + (5 * -1 + 3x * -1) = 5x + -35 2x + (-5 + -3x) = 5x + -35 Reorder the terms: -5 + 2x + -3x = 5x + -35 Combine like terms: 2x + -3x = -1x -5 + -1x = 5x + -35 Reorder the terms: -5 + -1x = -35 + 5x Solving -5 + -1x = -35 + 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. -5 + -1x + -5x = -35 + 5x + -5x Combine like terms: -1x + -5x = -6x -5 + -6x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -6x = -35 + 0 -5 + -6x = -35 Add '5' to each side of the equation. -5 + 5 + -6x = -35 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -35 + 5 -6x = -35 + 5 Combine like terms: -35 + 5 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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