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Simplifying -7 + -4(x + 7) + 68 = 2X + -9(X + 1) Reorder the terms: -7 + -4(7 + x) + 68 = 2X + -9(X + 1) -7 + (7 * -4 + x * -4) + 68 = 2X + -9(X + 1) -7 + (-28 + -4x) + 68 = 2X + -9(X + 1) Reorder the terms: -7 + -28 + 68 + -4x = 2X + -9(X + 1) Combine like terms: -7 + -28 = -35 -35 + 68 + -4x = 2X + -9(X + 1) Combine like terms: -35 + 68 = 33 33 + -4x = 2X + -9(X + 1) Reorder the terms: 33 + -4x = 2X + -9(1 + X) 33 + -4x = 2X + (1 * -9 + X * -9) 33 + -4x = 2X + (-9 + -9X) Reorder the terms: 33 + -4x = -9 + 2X + -9X Combine like terms: 2X + -9X = -7X 33 + -4x = -9 + -7X Solving 33 + -4x = -9 + -7X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -4x = -9 + -33 + -7X Combine like terms: 33 + -33 = 0 0 + -4x = -9 + -33 + -7X -4x = -9 + -33 + -7X Combine like terms: -9 + -33 = -42 -4x = -42 + -7X Divide each side by '-4'. x = 10.5 + 1.75X Simplifying x = 10.5 + 1.75X
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