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Simplifying 45 + 0.5x = 2x + x Combine like terms: 2x + x = 3x 45 + 0.5x = 3x Solving 45 + 0.5x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 45 + 0.5x + -3x = 3x + -3x Combine like terms: 0.5x + -3x = -2.5x 45 + -2.5x = 3x + -3x Combine like terms: 3x + -3x = 0 45 + -2.5x = 0 Add '-45' to each side of the equation. 45 + -45 + -2.5x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -2.5x = 0 + -45 -2.5x = 0 + -45 Combine like terms: 0 + -45 = -45 -2.5x = -45 Divide each side by '-2.5'. x = 18 Simplifying x = 18
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