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Simplifying 5(2x + 3) = 7(x + 3) Reorder the terms: 5(3 + 2x) = 7(x + 3) (3 * 5 + 2x * 5) = 7(x + 3) (15 + 10x) = 7(x + 3) Reorder the terms: 15 + 10x = 7(3 + x) 15 + 10x = (3 * 7 + x * 7) 15 + 10x = (21 + 7x) Solving 15 + 10x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + 10x + -7x = 21 + 7x + -7x Combine like terms: 10x + -7x = 3x 15 + 3x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + 3x = 21 + 0 15 + 3x = 21 Add '-15' to each side of the equation. 15 + -15 + 3x = 21 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 21 + -15 3x = 21 + -15 Combine like terms: 21 + -15 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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