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Simplifying 12 + -41 = 6x + 1 Combine like terms: 12 + -41 = -29 -29 = 6x + 1 Reorder the terms: -29 = 1 + 6x Solving -29 = 1 + 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. -29 + -6x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -29 + -6x = 1 + 0 -29 + -6x = 1 Add '29' to each side of the equation. -29 + 29 + -6x = 1 + 29 Combine like terms: -29 + 29 = 0 0 + -6x = 1 + 29 -6x = 1 + 29 Combine like terms: 1 + 29 = 30 -6x = 30 Divide each side by '-6'. x = -5 Simplifying x = -5
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