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Simplifying x * 12 + -13 = x * 6 + 53 Reorder the terms for easier multiplication: 12x + -13 = x * 6 + 53 Reorder the terms: -13 + 12x = x * 6 + 53 Reorder the terms for easier multiplication: -13 + 12x = 6x + 53 Reorder the terms: -13 + 12x = 53 + 6x Solving -13 + 12x = 53 + 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. -13 + 12x + -6x = 53 + 6x + -6x Combine like terms: 12x + -6x = 6x -13 + 6x = 53 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + 6x = 53 + 0 -13 + 6x = 53 Add '13' to each side of the equation. -13 + 13 + 6x = 53 + 13 Combine like terms: -13 + 13 = 0 0 + 6x = 53 + 13 6x = 53 + 13 Combine like terms: 53 + 13 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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