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Simplifying 3x + 45 = 10x + 24 Reorder the terms: 45 + 3x = 10x + 24 Reorder the terms: 45 + 3x = 24 + 10x Solving 45 + 3x = 24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 45 + 3x + -10x = 24 + 10x + -10x Combine like terms: 3x + -10x = -7x 45 + -7x = 24 + 10x + -10x Combine like terms: 10x + -10x = 0 45 + -7x = 24 + 0 45 + -7x = 24 Add '-45' to each side of the equation. 45 + -45 + -7x = 24 + -45 Combine like terms: 45 + -45 = 0 0 + -7x = 24 + -45 -7x = 24 + -45 Combine like terms: 24 + -45 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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