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Simplifying 2x + 61 = 6x + 51 Reorder the terms: 61 + 2x = 6x + 51 Reorder the terms: 61 + 2x = 51 + 6x Solving 61 + 2x = 51 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 61 + 2x + -6x = 51 + 6x + -6x Combine like terms: 2x + -6x = -4x 61 + -4x = 51 + 6x + -6x Combine like terms: 6x + -6x = 0 61 + -4x = 51 + 0 61 + -4x = 51 Add '-61' to each side of the equation. 61 + -61 + -4x = 51 + -61 Combine like terms: 61 + -61 = 0 0 + -4x = 51 + -61 -4x = 51 + -61 Combine like terms: 51 + -61 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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