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Simplifying 7(x + -6) = 5(10 + -1x) Reorder the terms: 7(-6 + x) = 5(10 + -1x) (-6 * 7 + x * 7) = 5(10 + -1x) (-42 + 7x) = 5(10 + -1x) -42 + 7x = (10 * 5 + -1x * 5) -42 + 7x = (50 + -5x) Solving -42 + 7x = 50 + -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. -42 + 7x + 5x = 50 + -5x + 5x Combine like terms: 7x + 5x = 12x -42 + 12x = 50 + -5x + 5x Combine like terms: -5x + 5x = 0 -42 + 12x = 50 + 0 -42 + 12x = 50 Add '42' to each side of the equation. -42 + 42 + 12x = 50 + 42 Combine like terms: -42 + 42 = 0 0 + 12x = 50 + 42 12x = 50 + 42 Combine like terms: 50 + 42 = 92 12x = 92 Divide each side by '12'. x = 7.666666667 Simplifying x = 7.666666667
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