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Simplifying -6x + 37 = 3x + -8(5x + 7) Reorder the terms: 37 + -6x = 3x + -8(5x + 7) Reorder the terms: 37 + -6x = 3x + -8(7 + 5x) 37 + -6x = 3x + (7 * -8 + 5x * -8) 37 + -6x = 3x + (-56 + -40x) Reorder the terms: 37 + -6x = -56 + 3x + -40x Combine like terms: 3x + -40x = -37x 37 + -6x = -56 + -37x Solving 37 + -6x = -56 + -37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37x' to each side of the equation. 37 + -6x + 37x = -56 + -37x + 37x Combine like terms: -6x + 37x = 31x 37 + 31x = -56 + -37x + 37x Combine like terms: -37x + 37x = 0 37 + 31x = -56 + 0 37 + 31x = -56 Add '-37' to each side of the equation. 37 + -37 + 31x = -56 + -37 Combine like terms: 37 + -37 = 0 0 + 31x = -56 + -37 31x = -56 + -37 Combine like terms: -56 + -37 = -93 31x = -93 Divide each side by '31'. x = -3 Simplifying x = -3
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