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Simplifying 3x + 5(-3x + -5) = -35 + -2x Reorder the terms: 3x + 5(-5 + -3x) = -35 + -2x 3x + (-5 * 5 + -3x * 5) = -35 + -2x 3x + (-25 + -15x) = -35 + -2x Reorder the terms: -25 + 3x + -15x = -35 + -2x Combine like terms: 3x + -15x = -12x -25 + -12x = -35 + -2x Solving -25 + -12x = -35 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -25 + -12x + 2x = -35 + -2x + 2x Combine like terms: -12x + 2x = -10x -25 + -10x = -35 + -2x + 2x Combine like terms: -2x + 2x = 0 -25 + -10x = -35 + 0 -25 + -10x = -35 Add '25' to each side of the equation. -25 + 25 + -10x = -35 + 25 Combine like terms: -25 + 25 = 0 0 + -10x = -35 + 25 -10x = -35 + 25 Combine like terms: -35 + 25 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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