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Simplifying 5(2x + 9) = 72 + -3x Reorder the terms: 5(9 + 2x) = 72 + -3x (9 * 5 + 2x * 5) = 72 + -3x (45 + 10x) = 72 + -3x Solving 45 + 10x = 72 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 45 + 10x + 3x = 72 + -3x + 3x Combine like terms: 10x + 3x = 13x 45 + 13x = 72 + -3x + 3x Combine like terms: -3x + 3x = 0 45 + 13x = 72 + 0 45 + 13x = 72 Add '-45' to each side of the equation. 45 + -45 + 13x = 72 + -45 Combine like terms: 45 + -45 = 0 0 + 13x = 72 + -45 13x = 72 + -45 Combine like terms: 72 + -45 = 27 13x = 27 Divide each side by '13'. x = 2.076923077 Simplifying x = 2.076923077
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