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Simplifying -7(x + 4) + 5(x + -7) = -85 Reorder the terms: -7(4 + x) + 5(x + -7) = -85 (4 * -7 + x * -7) + 5(x + -7) = -85 (-28 + -7x) + 5(x + -7) = -85 Reorder the terms: -28 + -7x + 5(-7 + x) = -85 -28 + -7x + (-7 * 5 + x * 5) = -85 -28 + -7x + (-35 + 5x) = -85 Reorder the terms: -28 + -35 + -7x + 5x = -85 Combine like terms: -28 + -35 = -63 -63 + -7x + 5x = -85 Combine like terms: -7x + 5x = -2x -63 + -2x = -85 Solving -63 + -2x = -85 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + -2x = -85 + 63 Combine like terms: -63 + 63 = 0 0 + -2x = -85 + 63 -2x = -85 + 63 Combine like terms: -85 + 63 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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