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Simplifying 3x + 53 = 7x + 5 Reorder the terms: 53 + 3x = 7x + 5 Reorder the terms: 53 + 3x = 5 + 7x Solving 53 + 3x = 5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 53 + 3x + -7x = 5 + 7x + -7x Combine like terms: 3x + -7x = -4x 53 + -4x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 53 + -4x = 5 + 0 53 + -4x = 5 Add '-53' to each side of the equation. 53 + -53 + -4x = 5 + -53 Combine like terms: 53 + -53 = 0 0 + -4x = 5 + -53 -4x = 5 + -53 Combine like terms: 5 + -53 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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