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Simplifying 75 + -2x = 6x + 35 Reorder the terms: 75 + -2x = 35 + 6x Solving 75 + -2x = 35 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 75 + -2x + -6x = 35 + 6x + -6x Combine like terms: -2x + -6x = -8x 75 + -8x = 35 + 6x + -6x Combine like terms: 6x + -6x = 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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