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Simplifying 9 + 7(x + -2) + -4(2x + -1) = 5 Reorder the terms: 9 + 7(-2 + x) + -4(2x + -1) = 5 9 + (-2 * 7 + x * 7) + -4(2x + -1) = 5 9 + (-14 + 7x) + -4(2x + -1) = 5 Reorder the terms: 9 + -14 + 7x + -4(-1 + 2x) = 5 9 + -14 + 7x + (-1 * -4 + 2x * -4) = 5 9 + -14 + 7x + (4 + -8x) = 5 Reorder the terms: 9 + -14 + 4 + 7x + -8x = 5 Combine like terms: 9 + -14 = -5 -5 + 4 + 7x + -8x = 5 Combine like terms: -5 + 4 = -1 -1 + 7x + -8x = 5 Combine like terms: 7x + -8x = -1x -1 + -1x = 5 Solving -1 + -1x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 5 + 1 -1x = 5 + 1 Combine like terms: 5 + 1 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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