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Simplifying 3x + 5 = 12x + -40 + 45 Reorder the terms: 5 + 3x = 12x + -40 + 45 Reorder the terms: 5 + 3x = -40 + 45 + 12x Combine like terms: -40 + 45 = 5 5 + 3x = 5 + 12x Add '-5' to each side of the equation. 5 + -5 + 3x = 5 + -5 + 12x Combine like terms: 5 + -5 = 0 0 + 3x = 5 + -5 + 12x 3x = 5 + -5 + 12x Combine like terms: 5 + -5 = 0 3x = 0 + 12x 3x = 12x Solving 3x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 3x + -12x = 12x + -12x Combine like terms: 3x + -12x = -9x -9x = 12x + -12x Combine like terms: 12x + -12x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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