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Simplifying 3(2x + 5(x + 3)) + -2x = 54 Reorder the terms: 3(2x + 5(3 + x)) + -2x = 54 3(2x + (3 * 5 + x * 5)) + -2x = 54 3(2x + (15 + 5x)) + -2x = 54 Reorder the terms: 3(15 + 2x + 5x) + -2x = 54 Combine like terms: 2x + 5x = 7x 3(15 + 7x) + -2x = 54 (15 * 3 + 7x * 3) + -2x = 54 (45 + 21x) + -2x = 54 Combine like terms: 21x + -2x = 19x 45 + 19x = 54 Solving 45 + 19x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 19x = 54 + -45 Combine like terms: 45 + -45 = 0 0 + 19x = 54 + -45 19x = 54 + -45 Combine like terms: 54 + -45 = 9 19x = 9 Divide each side by '19'. x = 0.4736842105 Simplifying x = 0.4736842105
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