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Simplifying 2(6x + 5) + 2(8x + -3) = 45 Reorder the terms: 2(5 + 6x) + 2(8x + -3) = 45 (5 * 2 + 6x * 2) + 2(8x + -3) = 45 (10 + 12x) + 2(8x + -3) = 45 Reorder the terms: 10 + 12x + 2(-3 + 8x) = 45 10 + 12x + (-3 * 2 + 8x * 2) = 45 10 + 12x + (-6 + 16x) = 45 Reorder the terms: 10 + -6 + 12x + 16x = 45 Combine like terms: 10 + -6 = 4 4 + 12x + 16x = 45 Combine like terms: 12x + 16x = 28x 4 + 28x = 45 Solving 4 + 28x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 28x = 45 + -4 Combine like terms: 4 + -4 = 0 0 + 28x = 45 + -4 28x = 45 + -4 Combine like terms: 45 + -4 = 41 28x = 41 Divide each side by '28'. x = 1.464285714 Simplifying x = 1.464285714
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