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Simplifying 17 + -41 = 3(x + -1) + -6 Combine like terms: 17 + -41 = -24 -24 = 3(x + -1) + -6 Reorder the terms: -24 = 3(-1 + x) + -6 -24 = (-1 * 3 + x * 3) + -6 -24 = (-3 + 3x) + -6 Reorder the terms: -24 = -3 + -6 + 3x Combine like terms: -3 + -6 = -9 -24 = -9 + 3x Solving -24 = -9 + 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. -24 + -3x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + -3x = -9 + 0 -24 + -3x = -9 Add '24' to each side of the equation. -24 + 24 + -3x = -9 + 24 Combine like terms: -24 + 24 = 0 0 + -3x = -9 + 24 -3x = -9 + 24 Combine like terms: -9 + 24 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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