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Simplifying 3x + 10 = 45 + -2x Reorder the terms: 10 + 3x = 45 + -2x Solving 10 + 3x = 45 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + 3x + 2x = 45 + -2x + 2x Combine like terms: 3x + 2x = 5x 10 + 5x = 45 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 5x = 45 + 0 10 + 5x = 45 Add '-10' to each side of the equation. 10 + -10 + 5x = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 45 + -10 5x = 45 + -10 Combine like terms: 45 + -10 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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