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Simplifying 105 = 45(4x + 5) Reorder the terms: 105 = 45(5 + 4x) 105 = (5 * 45 + 4x * 45) 105 = (225 + 180x) Solving 105 = 225 + 180x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-180x' to each side of the equation. 105 + -180x = 225 + 180x + -180x Combine like terms: 180x + -180x = 0 105 + -180x = 225 + 0 105 + -180x = 225 Add '-105' to each side of the equation. 105 + -105 + -180x = 225 + -105 Combine like terms: 105 + -105 = 0 0 + -180x = 225 + -105 -180x = 225 + -105 Combine like terms: 225 + -105 = 120 -180x = 120 Divide each side by '-180'. x = -0.6666666667 Simplifying x = -0.6666666667
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