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Simplifying x * 3 + -6 = x * 12 + -177 Reorder the terms for easier multiplication: 3x + -6 = x * 12 + -177 Reorder the terms: -6 + 3x = x * 12 + -177 Reorder the terms for easier multiplication: -6 + 3x = 12x + -177 Reorder the terms: -6 + 3x = -177 + 12x Solving -6 + 3x = -177 + 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. -6 + 3x + -12x = -177 + 12x + -12x Combine like terms: 3x + -12x = -9x -6 + -9x = -177 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -9x = -177 + 0 -6 + -9x = -177 Add '6' to each side of the equation. -6 + 6 + -9x = -177 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = -177 + 6 -9x = -177 + 6 Combine like terms: -177 + 6 = -171 -9x = -171 Divide each side by '-9'. x = 19 Simplifying x = 19
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