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Simplifying 6(x + 6) + -1(5 + 9x) = -4x Reorder the terms: 6(6 + x) + -1(5 + 9x) = -4x (6 * 6 + x * 6) + -1(5 + 9x) = -4x (36 + 6x) + -1(5 + 9x) = -4x 36 + 6x + (5 * -1 + 9x * -1) = -4x 36 + 6x + (-5 + -9x) = -4x Reorder the terms: 36 + -5 + 6x + -9x = -4x Combine like terms: 36 + -5 = 31 31 + 6x + -9x = -4x Combine like terms: 6x + -9x = -3x 31 + -3x = -4x Solving 31 + -3x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 31 + -3x + 4x = -4x + 4x Combine like terms: -3x + 4x = 1x 31 + 1x = -4x + 4x Combine like terms: -4x + 4x = 0 31 + 1x = 0 Add '-31' to each side of the equation. 31 + -31 + 1x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 1x = 0 + -31 1x = 0 + -31 Combine like terms: 0 + -31 = -31 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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