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Simplifying -1(5x + 35) = 3(4x + -5) Reorder the terms: -1(35 + 5x) = 3(4x + -5) (35 * -1 + 5x * -1) = 3(4x + -5) (-35 + -5x) = 3(4x + -5) Reorder the terms: -35 + -5x = 3(-5 + 4x) -35 + -5x = (-5 * 3 + 4x * 3) -35 + -5x = (-15 + 12x) Solving -35 + -5x = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -35 + -5x + -12x = -15 + 12x + -12x Combine like terms: -5x + -12x = -17x -35 + -17x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 -35 + -17x = -15 + 0 -35 + -17x = -15 Add '35' to each side of the equation. -35 + 35 + -17x = -15 + 35 Combine like terms: -35 + 35 = 0 0 + -17x = -15 + 35 -17x = -15 + 35 Combine like terms: -15 + 35 = 20 -17x = 20 Divide each side by '-17'. x = -1.176470588 Simplifying x = -1.176470588
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