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Simplifying 3x + 61 = 7x + 13 Reorder the terms: 61 + 3x = 7x + 13 Reorder the terms: 61 + 3x = 13 + 7x Solving 61 + 3x = 13 + 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. 61 + 3x + -7x = 13 + 7x + -7x Combine like terms: 3x + -7x = -4x 61 + -4x = 13 + 7x + -7x Combine like terms: 7x + -7x = 0 61 + -4x = 13 + 0 61 + -4x = 13 Add '-61' to each side of the equation. 61 + -61 + -4x = 13 + -61 Combine like terms: 61 + -61 = 0 0 + -4x = 13 + -61 -4x = 13 + -61 Combine like terms: 13 + -61 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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