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Simplifying 3x + -35 = -2(-5 + 6x) Reorder the terms: -35 + 3x = -2(-5 + 6x) -35 + 3x = (-5 * -2 + 6x * -2) -35 + 3x = (10 + -12x) Solving -35 + 3x = 10 + -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 + 3x + 12x = 10 + -12x + 12x Combine like terms: 3x + 12x = 15x -35 + 15x = 10 + -12x + 12x Combine like terms: -12x + 12x = 0 -35 + 15x = 10 + 0 -35 + 15x = 10 Add '35' to each side of the equation. -35 + 35 + 15x = 10 + 35 Combine like terms: -35 + 35 = 0 0 + 15x = 10 + 35 15x = 10 + 35 Combine like terms: 10 + 35 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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