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Simplifying 5(3x + 10) = 7x + -2x Reorder the terms: 5(10 + 3x) = 7x + -2x (10 * 5 + 3x * 5) = 7x + -2x (50 + 15x) = 7x + -2x Combine like terms: 7x + -2x = 5x 50 + 15x = 5x Solving 50 + 15x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 50 + 15x + -5x = 5x + -5x Combine like terms: 15x + -5x = 10x 50 + 10x = 5x + -5x Combine like terms: 5x + -5x = 0 50 + 10x = 0 Add '-50' to each side of the equation. 50 + -50 + 10x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 10x = 0 + -50 10x = 0 + -50 Combine like terms: 0 + -50 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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