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Simplifying 5x + 6 + -1(10 + -2x) = (7x + 7) + -1(6x + -2) 5x + 6 + (10 * -1 + -2x * -1) = (7x + 7) + -1(6x + -2) 5x + 6 + (-10 + 2x) = (7x + 7) + -1(6x + -2) Reorder the terms: 6 + -10 + 5x + 2x = (7x + 7) + -1(6x + -2) Combine like terms: 6 + -10 = -4 -4 + 5x + 2x = (7x + 7) + -1(6x + -2) Combine like terms: 5x + 2x = 7x -4 + 7x = (7x + 7) + -1(6x + -2) Reorder the terms: -4 + 7x = (7 + 7x) + -1(6x + -2) Remove parenthesis around (7 + 7x) -4 + 7x = 7 + 7x + -1(6x + -2) Reorder the terms: -4 + 7x = 7 + 7x + -1(-2 + 6x) -4 + 7x = 7 + 7x + (-2 * -1 + 6x * -1) -4 + 7x = 7 + 7x + (2 + -6x) Reorder the terms: -4 + 7x = 7 + 2 + 7x + -6x Combine like terms: 7 + 2 = 9 -4 + 7x = 9 + 7x + -6x Combine like terms: 7x + -6x = 1x -4 + 7x = 9 + 1x Solving -4 + 7x = 9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 7x + -1x = 9 + 1x + -1x Combine like terms: 7x + -1x = 6x -4 + 6x = 9 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + 6x = 9 + 0 -4 + 6x = 9 Add '4' to each side of the equation. -4 + 4 + 6x = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 9 + 4 6x = 9 + 4 Combine like terms: 9 + 4 = 13 6x = 13 Divide each side by '6'. x = 2.166666667 Simplifying x = 2.166666667
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