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Simplifying 9 + 5(2x + -2) = -2(7x + -1) + 6x Reorder the terms: 9 + 5(-2 + 2x) = -2(7x + -1) + 6x 9 + (-2 * 5 + 2x * 5) = -2(7x + -1) + 6x 9 + (-10 + 10x) = -2(7x + -1) + 6x Combine like terms: 9 + -10 = -1 -1 + 10x = -2(7x + -1) + 6x Reorder the terms: -1 + 10x = -2(-1 + 7x) + 6x -1 + 10x = (-1 * -2 + 7x * -2) + 6x -1 + 10x = (2 + -14x) + 6x Combine like terms: -14x + 6x = -8x -1 + 10x = 2 + -8x Solving -1 + 10x = 2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -1 + 10x + 8x = 2 + -8x + 8x Combine like terms: 10x + 8x = 18x -1 + 18x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 -1 + 18x = 2 + 0 -1 + 18x = 2 Add '1' to each side of the equation. -1 + 1 + 18x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 18x = 2 + 1 18x = 2 + 1 Combine like terms: 2 + 1 = 3 18x = 3 Divide each side by '18'. x = 0.1666666667 Simplifying x = 0.1666666667
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