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Simplifying 5(6x + -89) = 6(46x + -3) Reorder the terms: 5(-89 + 6x) = 6(46x + -3) (-89 * 5 + 6x * 5) = 6(46x + -3) (-445 + 30x) = 6(46x + -3) Reorder the terms: -445 + 30x = 6(-3 + 46x) -445 + 30x = (-3 * 6 + 46x * 6) -445 + 30x = (-18 + 276x) Solving -445 + 30x = -18 + 276x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-276x' to each side of the equation. -445 + 30x + -276x = -18 + 276x + -276x Combine like terms: 30x + -276x = -246x -445 + -246x = -18 + 276x + -276x Combine like terms: 276x + -276x = 0 -445 + -246x = -18 + 0 -445 + -246x = -18 Add '445' to each side of the equation. -445 + 445 + -246x = -18 + 445 Combine like terms: -445 + 445 = 0 0 + -246x = -18 + 445 -246x = -18 + 445 Combine like terms: -18 + 445 = 427 -246x = 427 Divide each side by '-246'. x = -1.735772358 Simplifying x = -1.735772358
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