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Simplifying 12 + -41 = 3(x + -2) + -8 Combine like terms: 12 + -41 = -29 -29 = 3(x + -2) + -8 Reorder the terms: -29 = 3(-2 + x) + -8 -29 = (-2 * 3 + x * 3) + -8 -29 = (-6 + 3x) + -8 Reorder the terms: -29 = -6 + -8 + 3x Combine like terms: -6 + -8 = -14 -29 = -14 + 3x Solving -29 = -14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -29 + -3x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 -29 + -3x = -14 + 0 -29 + -3x = -14 Add '29' to each side of the equation. -29 + 29 + -3x = -14 + 29 Combine like terms: -29 + 29 = 0 0 + -3x = -14 + 29 -3x = -14 + 29 Combine like terms: -14 + 29 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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