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Simplifying 177 = 6x + 5(5x + -8) Reorder the terms: 177 = 6x + 5(-8 + 5x) 177 = 6x + (-8 * 5 + 5x * 5) 177 = 6x + (-40 + 25x) Reorder the terms: 177 = -40 + 6x + 25x Combine like terms: 6x + 25x = 31x 177 = -40 + 31x Solving 177 = -40 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 177 + -31x = -40 + 31x + -31x Combine like terms: 31x + -31x = 0 177 + -31x = -40 + 0 177 + -31x = -40 Add '-177' to each side of the equation. 177 + -177 + -31x = -40 + -177 Combine like terms: 177 + -177 = 0 0 + -31x = -40 + -177 -31x = -40 + -177 Combine like terms: -40 + -177 = -217 -31x = -217 Divide each side by '-31'. x = 7 Simplifying x = 7
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