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Simplifying x * 12 + -172 = x * 6 + -10 Reorder the terms for easier multiplication: 12x + -172 = x * 6 + -10 Reorder the terms: -172 + 12x = x * 6 + -10 Reorder the terms for easier multiplication: -172 + 12x = 6x + -10 Reorder the terms: -172 + 12x = -10 + 6x Solving -172 + 12x = -10 + 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. -172 + 12x + -6x = -10 + 6x + -6x Combine like terms: 12x + -6x = 6x -172 + 6x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -172 + 6x = -10 + 0 -172 + 6x = -10 Add '172' to each side of the equation. -172 + 172 + 6x = -10 + 172 Combine like terms: -172 + 172 = 0 0 + 6x = -10 + 172 6x = -10 + 172 Combine like terms: -10 + 172 = 162 6x = 162 Divide each side by '6'. x = 27 Simplifying x = 27
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