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Simplifying -19 + -3x = -6 + -5(6x + 8) Reorder the terms: -19 + -3x = -6 + -5(8 + 6x) -19 + -3x = -6 + (8 * -5 + 6x * -5) -19 + -3x = -6 + (-40 + -30x) Combine like terms: -6 + -40 = -46 -19 + -3x = -46 + -30x Solving -19 + -3x = -46 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -19 + -3x + 30x = -46 + -30x + 30x Combine like terms: -3x + 30x = 27x -19 + 27x = -46 + -30x + 30x Combine like terms: -30x + 30x = 0 -19 + 27x = -46 + 0 -19 + 27x = -46 Add '19' to each side of the equation. -19 + 19 + 27x = -46 + 19 Combine like terms: -19 + 19 = 0 0 + 27x = -46 + 19 27x = -46 + 19 Combine like terms: -46 + 19 = -27 27x = -27 Divide each side by '27'. x = -1 Simplifying x = -1
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