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Simplifying 5(2x + 9) = 3(2x + 10) Reorder the terms: 5(9 + 2x) = 3(2x + 10) (9 * 5 + 2x * 5) = 3(2x + 10) (45 + 10x) = 3(2x + 10) Reorder the terms: 45 + 10x = 3(10 + 2x) 45 + 10x = (10 * 3 + 2x * 3) 45 + 10x = (30 + 6x) Solving 45 + 10x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 45 + 10x + -6x = 30 + 6x + -6x Combine like terms: 10x + -6x = 4x 45 + 4x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + 4x = 30 + 0 45 + 4x = 30 Add '-45' to each side of the equation. 45 + -45 + 4x = 30 + -45 Combine like terms: 45 + -45 = 0 0 + 4x = 30 + -45 4x = 30 + -45 Combine like terms: 30 + -45 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75
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