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Simplifying 7x + 53 = 3x + 21 Reorder the terms: 53 + 7x = 3x + 21 Reorder the terms: 53 + 7x = 21 + 3x Solving 53 + 7x = 21 + 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. 53 + 7x + -3x = 21 + 3x + -3x Combine like terms: 7x + -3x = 4x 53 + 4x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 53 + 4x = 21 + 0 53 + 4x = 21 Add '-53' to each side of the equation. 53 + -53 + 4x = 21 + -53 Combine like terms: 53 + -53 = 0 0 + 4x = 21 + -53 4x = 21 + -53 Combine like terms: 21 + -53 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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