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Simplifying 5(2x + -1) + 2(3x + 4) = 51 Reorder the terms: 5(-1 + 2x) + 2(3x + 4) = 51 (-1 * 5 + 2x * 5) + 2(3x + 4) = 51 (-5 + 10x) + 2(3x + 4) = 51 Reorder the terms: -5 + 10x + 2(4 + 3x) = 51 -5 + 10x + (4 * 2 + 3x * 2) = 51 -5 + 10x + (8 + 6x) = 51 Reorder the terms: -5 + 8 + 10x + 6x = 51 Combine like terms: -5 + 8 = 3 3 + 10x + 6x = 51 Combine like terms: 10x + 6x = 16x 3 + 16x = 51 Solving 3 + 16x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 16x = 51 + -3 Combine like terms: 3 + -3 = 0 0 + 16x = 51 + -3 16x = 51 + -3 Combine like terms: 51 + -3 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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