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Simplifying 6x + 61 = 12x + 13 Reorder the terms: 61 + 6x = 12x + 13 Reorder the terms: 61 + 6x = 13 + 12x Solving 61 + 6x = 13 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 61 + 6x + -12x = 13 + 12x + -12x Combine like terms: 6x + -12x = -6x 61 + -6x = 13 + 12x + -12x Combine like terms: 12x + -12x = 0 61 + -6x = 13 + 0 61 + -6x = 13 Add '-61' to each side of the equation. 61 + -61 + -6x = 13 + -61 Combine like terms: 61 + -61 = 0 0 + -6x = 13 + -61 -6x = 13 + -61 Combine like terms: 13 + -61 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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