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Simplifying 6x + 5(x + -7) = 19 + -1x + 6 Reorder the terms: 6x + 5(-7 + x) = 19 + -1x + 6 6x + (-7 * 5 + x * 5) = 19 + -1x + 6 6x + (-35 + 5x) = 19 + -1x + 6 Reorder the terms: -35 + 6x + 5x = 19 + -1x + 6 Combine like terms: 6x + 5x = 11x -35 + 11x = 19 + -1x + 6 Reorder the terms: -35 + 11x = 19 + 6 + -1x Combine like terms: 19 + 6 = 25 -35 + 11x = 25 + -1x Solving -35 + 11x = 25 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -35 + 11x + x = 25 + -1x + x Combine like terms: 11x + x = 12x -35 + 12x = 25 + -1x + x Combine like terms: -1x + x = 0 -35 + 12x = 25 + 0 -35 + 12x = 25 Add '35' to each side of the equation. -35 + 35 + 12x = 25 + 35 Combine like terms: -35 + 35 = 0 0 + 12x = 25 + 35 12x = 25 + 35 Combine like terms: 25 + 35 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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