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Simplifying x + 45 = 5x + 21 Reorder the terms: 45 + x = 5x + 21 Reorder the terms: 45 + x = 21 + 5x Solving 45 + x = 21 + 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 + x + -5x = 21 + 5x + -5x Combine like terms: x + -5x = -4x 45 + -4x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + -4x = 21 + 0 45 + -4x = 21 Add '-45' to each side of the equation. 45 + -45 + -4x = 21 + -45 Combine like terms: 45 + -45 = 0 0 + -4x = 21 + -45 -4x = 21 + -45 Combine like terms: 21 + -45 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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