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Simplifying 5x + -3(2 + -4x) = 10 + -5(8 + -1x) 5x + (2 * -3 + -4x * -3) = 10 + -5(8 + -1x) 5x + (-6 + 12x) = 10 + -5(8 + -1x) Reorder the terms: -6 + 5x + 12x = 10 + -5(8 + -1x) Combine like terms: 5x + 12x = 17x -6 + 17x = 10 + -5(8 + -1x) -6 + 17x = 10 + (8 * -5 + -1x * -5) -6 + 17x = 10 + (-40 + 5x) Combine like terms: 10 + -40 = -30 -6 + 17x = -30 + 5x Solving -6 + 17x = -30 + 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. -6 + 17x + -5x = -30 + 5x + -5x Combine like terms: 17x + -5x = 12x -6 + 12x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 12x = -30 + 0 -6 + 12x = -30 Add '6' to each side of the equation. -6 + 6 + 12x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = -30 + 6 12x = -30 + 6 Combine like terms: -30 + 6 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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