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Simplifying 3x + -8x + 75 = 3x + 35 Reorder the terms: 75 + 3x + -8x = 3x + 35 Combine like terms: 3x + -8x = -5x 75 + -5x = 3x + 35 Reorder the terms: 75 + -5x = 35 + 3x Solving 75 + -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. 75 + -5x + -3x = 35 + 3x + -3x Combine like terms: -5x + -3x = -8x 75 + -8x = 35 + 3x + -3x Combine like terms: 3x + -3x = 0 75 + -8x = 35 + 0 75 + -8x = 35 Add '-75' to each side of the equation. 75 + -75 + -8x = 35 + -75 Combine like terms: 75 + -75 = 0 0 + -8x = 35 + -75 -8x = 35 + -75 Combine like terms: 35 + -75 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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