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Simplifying x * 6 + 58 = x * 12 + -14 Reorder the terms for easier multiplication: 6x + 58 = x * 12 + -14 Reorder the terms: 58 + 6x = x * 12 + -14 Reorder the terms for easier multiplication: 58 + 6x = 12x + -14 Reorder the terms: 58 + 6x = -14 + 12x Solving 58 + 6x = -14 + 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. 58 + 6x + -12x = -14 + 12x + -12x Combine like terms: 6x + -12x = -6x 58 + -6x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 58 + -6x = -14 + 0 58 + -6x = -14 Add '-58' to each side of the equation. 58 + -58 + -6x = -14 + -58 Combine like terms: 58 + -58 = 0 0 + -6x = -14 + -58 -6x = -14 + -58 Combine like terms: -14 + -58 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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