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Simplifying 45 = 3x + -10 + 2x Reorder the terms: 45 = -10 + 3x + 2x Combine like terms: 3x + 2x = 5x 45 = -10 + 5x Solving 45 = -10 + 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 + -5x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + -5x = -10 + 0 45 + -5x = -10 Add '-45' to each side of the equation. 45 + -45 + -5x = -10 + -45 Combine like terms: 45 + -45 = 0 0 + -5x = -10 + -45 -5x = -10 + -45 Combine like terms: -10 + -45 = -55 -5x = -55 Divide each side by '-5'. x = 11 Simplifying x = 11
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