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Simplifying 10x + 45 = 5x + 12 Reorder the terms: 45 + 10x = 5x + 12 Reorder the terms: 45 + 10x = 12 + 5x Solving 45 + 10x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 45 + 10x + -5x = 12 + 5x + -5x Combine like terms: 10x + -5x = 5x 45 + 5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + 5x = 12 + 0 45 + 5x = 12 Add '-45' to each side of the equation. 45 + -45 + 5x = 12 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 12 + -45 5x = 12 + -45 Combine like terms: 12 + -45 = -33 5x = -33 Divide each side by '5'. x = -6.6 Simplifying x = -6.6
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