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Simplifying 2(3x + 5) + 10x + 3 = 45 Reorder the terms: 2(5 + 3x) + 10x + 3 = 45 (5 * 2 + 3x * 2) + 10x + 3 = 45 (10 + 6x) + 10x + 3 = 45 Reorder the terms: 10 + 3 + 6x + 10x = 45 Combine like terms: 10 + 3 = 13 13 + 6x + 10x = 45 Combine like terms: 6x + 10x = 16x 13 + 16x = 45 Solving 13 + 16x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 16x = 45 + -13 Combine like terms: 13 + -13 = 0 0 + 16x = 45 + -13 16x = 45 + -13 Combine like terms: 45 + -13 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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