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Simplifying 10x + -5 + 75 = 3x + 2 Reorder the terms: -5 + 75 + 10x = 3x + 2 Combine like terms: -5 + 75 = 70 70 + 10x = 3x + 2 Reorder the terms: 70 + 10x = 2 + 3x Solving 70 + 10x = 2 + 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. 70 + 10x + -3x = 2 + 3x + -3x Combine like terms: 10x + -3x = 7x 70 + 7x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 70 + 7x = 2 + 0 70 + 7x = 2 Add '-70' to each side of the equation. 70 + -70 + 7x = 2 + -70 Combine like terms: 70 + -70 = 0 0 + 7x = 2 + -70 7x = 2 + -70 Combine like terms: 2 + -70 = -68 7x = -68 Divide each side by '7'. x = -9.714285714 Simplifying x = -9.714285714
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