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Simplifying -274 = 6 + 8(6x + -5) Reorder the terms: -274 = 6 + 8(-5 + 6x) -274 = 6 + (-5 * 8 + 6x * 8) -274 = 6 + (-40 + 48x) Combine like terms: 6 + -40 = -34 -274 = -34 + 48x Solving -274 = -34 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -274 + -48x = -34 + 48x + -48x Combine like terms: 48x + -48x = 0 -274 + -48x = -34 + 0 -274 + -48x = -34 Add '274' to each side of the equation. -274 + 274 + -48x = -34 + 274 Combine like terms: -274 + 274 = 0 0 + -48x = -34 + 274 -48x = -34 + 274 Combine like terms: -34 + 274 = 240 -48x = 240 Divide each side by '-48'. x = -5 Simplifying x = -5
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