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Simplifying 75 + -3x = 7x + 15 Reorder the terms: 75 + -3x = 15 + 7x Solving 75 + -3x = 15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 75 + -3x + -7x = 15 + 7x + -7x Combine like terms: -3x + -7x = -10x 75 + -10x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 75 + -10x = 15 + 0 75 + -10x = 15 Add '-75' to each side of the equation. 75 + -75 + -10x = 15 + -75 Combine like terms: 75 + -75 = 0 0 + -10x = 15 + -75 -10x = 15 + -75 Combine like terms: 15 + -75 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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