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Simplifying 12x + -13 = x + 53 Reorder the terms: -13 + 12x = x + 53 Reorder the terms: -13 + 12x = 53 + x Solving -13 + 12x = 53 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + 12x + -1x = 53 + x + -1x Combine like terms: 12x + -1x = 11x -13 + 11x = 53 + x + -1x Combine like terms: x + -1x = 0 -13 + 11x = 53 + 0 -13 + 11x = 53 Add '13' to each side of the equation. -13 + 13 + 11x = 53 + 13 Combine like terms: -13 + 13 = 0 0 + 11x = 53 + 13 11x = 53 + 13 Combine like terms: 53 + 13 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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