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Simplifying 3x + 5 = 45 + -3x Reorder the terms: 5 + 3x = 45 + -3x Solving 5 + 3x = 45 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 5 + 3x + 3x = 45 + -3x + 3x Combine like terms: 3x + 3x = 6x 5 + 6x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 6x = 45 + 0 5 + 6x = 45 Add '-5' to each side of the equation. 5 + -5 + 6x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 45 + -5 6x = 45 + -5 Combine like terms: 45 + -5 = 40 6x = 40 Divide each side by '6'. x = 6.666666667 Simplifying x = 6.666666667
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