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Simplifying 37 = 7(4x + 7) + -8(7x + 5) Reorder the terms: 37 = 7(7 + 4x) + -8(7x + 5) 37 = (7 * 7 + 4x * 7) + -8(7x + 5) 37 = (49 + 28x) + -8(7x + 5) Reorder the terms: 37 = 49 + 28x + -8(5 + 7x) 37 = 49 + 28x + (5 * -8 + 7x * -8) 37 = 49 + 28x + (-40 + -56x) Reorder the terms: 37 = 49 + -40 + 28x + -56x Combine like terms: 49 + -40 = 9 37 = 9 + 28x + -56x Combine like terms: 28x + -56x = -28x 37 = 9 + -28x Solving 37 = 9 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 37 + 28x = 9 + -28x + 28x Combine like terms: -28x + 28x = 0 37 + 28x = 9 + 0 37 + 28x = 9 Add '-37' to each side of the equation. 37 + -37 + 28x = 9 + -37 Combine like terms: 37 + -37 = 0 0 + 28x = 9 + -37 28x = 9 + -37 Combine like terms: 9 + -37 = -28 28x = -28 Divide each side by '28'. x = -1 Simplifying x = -1
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