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Simplifying 5(2x + 6) = 5x(3 + 7) Reorder the terms: 5(6 + 2x) = 5x(3 + 7) (6 * 5 + 2x * 5) = 5x(3 + 7) (30 + 10x) = 5x(3 + 7) Combine like terms: 3 + 7 = 10 30 + 10x = 5x(10) Reorder the terms for easier multiplication: 30 + 10x = 5 * 10x Multiply 5 * 10 30 + 10x = 50x Solving 30 + 10x = 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 30 + 10x + -50x = 50x + -50x Combine like terms: 10x + -50x = -40x 30 + -40x = 50x + -50x Combine like terms: 50x + -50x = 0 30 + -40x = 0 Add '-30' to each side of the equation. 30 + -30 + -40x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -40x = 0 + -30 -40x = 0 + -30 Combine like terms: 0 + -30 = -30 -40x = -30 Divide each side by '-40'. x = 0.75 Simplifying x = 0.75
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