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Simplifying 5(6x + 10) = 7(4x + 9) Reorder the terms: 5(10 + 6x) = 7(4x + 9) (10 * 5 + 6x * 5) = 7(4x + 9) (50 + 30x) = 7(4x + 9) Reorder the terms: 50 + 30x = 7(9 + 4x) 50 + 30x = (9 * 7 + 4x * 7) 50 + 30x = (63 + 28x) Solving 50 + 30x = 63 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 50 + 30x + -28x = 63 + 28x + -28x Combine like terms: 30x + -28x = 2x 50 + 2x = 63 + 28x + -28x Combine like terms: 28x + -28x = 0 50 + 2x = 63 + 0 50 + 2x = 63 Add '-50' to each side of the equation. 50 + -50 + 2x = 63 + -50 Combine like terms: 50 + -50 = 0 0 + 2x = 63 + -50 2x = 63 + -50 Combine like terms: 63 + -50 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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