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Simplifying 4 + 6(6x + -1) = -5(-1x + 5) + -8 Reorder the terms: 4 + 6(-1 + 6x) = -5(-1x + 5) + -8 4 + (-1 * 6 + 6x * 6) = -5(-1x + 5) + -8 4 + (-6 + 36x) = -5(-1x + 5) + -8 Combine like terms: 4 + -6 = -2 -2 + 36x = -5(-1x + 5) + -8 Reorder the terms: -2 + 36x = -5(5 + -1x) + -8 -2 + 36x = (5 * -5 + -1x * -5) + -8 -2 + 36x = (-25 + 5x) + -8 Reorder the terms: -2 + 36x = -25 + -8 + 5x Combine like terms: -25 + -8 = -33 -2 + 36x = -33 + 5x Solving -2 + 36x = -33 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 36x + -5x = -33 + 5x + -5x Combine like terms: 36x + -5x = 31x -2 + 31x = -33 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 31x = -33 + 0 -2 + 31x = -33 Add '2' to each side of the equation. -2 + 2 + 31x = -33 + 2 Combine like terms: -2 + 2 = 0 0 + 31x = -33 + 2 31x = -33 + 2 Combine like terms: -33 + 2 = -31 31x = -31 Divide each side by '31'. x = -1 Simplifying x = -1
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