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Simplifying 45 + -3x = 2x + 10 Reorder the terms: 45 + -3x = 10 + 2x Solving 45 + -3x = 10 + 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. 45 + -3x + -2x = 10 + 2x + -2x Combine like terms: -3x + -2x = -5x 45 + -5x = 10 + 2x + -2x Combine like terms: 2x + -2x = 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 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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