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Simplifying 6(x + -7) + 5(2x + 3) = 37 Reorder the terms: 6(-7 + x) + 5(2x + 3) = 37 (-7 * 6 + x * 6) + 5(2x + 3) = 37 (-42 + 6x) + 5(2x + 3) = 37 Reorder the terms: -42 + 6x + 5(3 + 2x) = 37 -42 + 6x + (3 * 5 + 2x * 5) = 37 -42 + 6x + (15 + 10x) = 37 Reorder the terms: -42 + 15 + 6x + 10x = 37 Combine like terms: -42 + 15 = -27 -27 + 6x + 10x = 37 Combine like terms: 6x + 10x = 16x -27 + 16x = 37 Solving -27 + 16x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 16x = 37 + 27 Combine like terms: -27 + 27 = 0 0 + 16x = 37 + 27 16x = 37 + 27 Combine like terms: 37 + 27 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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