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Simplifying 5(3 + -2x) = 5(10 + -3x) (3 * 5 + -2x * 5) = 5(10 + -3x) (15 + -10x) = 5(10 + -3x) 15 + -10x = (10 * 5 + -3x * 5) 15 + -10x = (50 + -15x) Solving 15 + -10x = 50 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 15 + -10x + 15x = 50 + -15x + 15x Combine like terms: -10x + 15x = 5x 15 + 5x = 50 + -15x + 15x Combine like terms: -15x + 15x = 0 15 + 5x = 50 + 0 15 + 5x = 50 Add '-15' to each side of the equation. 15 + -15 + 5x = 50 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 50 + -15 5x = 50 + -15 Combine like terms: 50 + -15 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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