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Simplifying 2x + 5 + -7x = -35 + 3x Reorder the terms: 5 + 2x + -7x = -35 + 3x Combine like terms: 2x + -7x = -5x 5 + -5x = -35 + 3x Solving 5 + -5x = -35 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + -5x + -3x = -35 + 3x + -3x Combine like terms: -5x + -3x = -8x 5 + -8x = -35 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -8x = -35 + 0 5 + -8x = -35 Add '-5' to each side of the equation. 5 + -5 + -8x = -35 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = -35 + -5 -8x = -35 + -5 Combine like terms: -35 + -5 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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