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Simplifying 7(-4x + 5) + 6(3x + 2) = 37 Reorder the terms: 7(5 + -4x) + 6(3x + 2) = 37 (5 * 7 + -4x * 7) + 6(3x + 2) = 37 (35 + -28x) + 6(3x + 2) = 37 Reorder the terms: 35 + -28x + 6(2 + 3x) = 37 35 + -28x + (2 * 6 + 3x * 6) = 37 35 + -28x + (12 + 18x) = 37 Reorder the terms: 35 + 12 + -28x + 18x = 37 Combine like terms: 35 + 12 = 47 47 + -28x + 18x = 37 Combine like terms: -28x + 18x = -10x 47 + -10x = 37 Solving 47 + -10x = 37 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -10x = 37 + -47 Combine like terms: 47 + -47 = 0 0 + -10x = 37 + -47 -10x = 37 + -47 Combine like terms: 37 + -47 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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