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Simplifying 174 = -7x + -6(5x + 8) Reorder the terms: 174 = -7x + -6(8 + 5x) 174 = -7x + (8 * -6 + 5x * -6) 174 = -7x + (-48 + -30x) Reorder the terms: 174 = -48 + -7x + -30x Combine like terms: -7x + -30x = -37x 174 = -48 + -37x Solving 174 = -48 + -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. 174 + 37x = -48 + -37x + 37x Combine like terms: -37x + 37x = 0 174 + 37x = -48 + 0 174 + 37x = -48 Add '-174' to each side of the equation. 174 + -174 + 37x = -48 + -174 Combine like terms: 174 + -174 = 0 0 + 37x = -48 + -174 37x = -48 + -174 Combine like terms: -48 + -174 = -222 37x = -222 Divide each side by '37'. x = -6 Simplifying x = -6
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