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Simplifying 6 + 7(x + -1) = 10 + -2(x + -2) Reorder the terms: 6 + 7(-1 + x) = 10 + -2(x + -2) 6 + (-1 * 7 + x * 7) = 10 + -2(x + -2) 6 + (-7 + 7x) = 10 + -2(x + -2) Combine like terms: 6 + -7 = -1 -1 + 7x = 10 + -2(x + -2) Reorder the terms: -1 + 7x = 10 + -2(-2 + x) -1 + 7x = 10 + (-2 * -2 + x * -2) -1 + 7x = 10 + (4 + -2x) Combine like terms: 10 + 4 = 14 -1 + 7x = 14 + -2x Solving -1 + 7x = 14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -1 + 7x + 2x = 14 + -2x + 2x Combine like terms: 7x + 2x = 9x -1 + 9x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 9x = 14 + 0 -1 + 9x = 14 Add '1' to each side of the equation. -1 + 1 + 9x = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 9x = 14 + 1 9x = 14 + 1 Combine like terms: 14 + 1 = 15 9x = 15 Divide each side by '9'. x = 1.666666667 Simplifying x = 1.666666667
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