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Simplifying X + -5 = 48 + -11(X + 7) Reorder the terms: -5 + X = 48 + -11(X + 7) Reorder the terms: -5 + X = 48 + -11(7 + X) -5 + X = 48 + (7 * -11 + X * -11) -5 + X = 48 + (-77 + -11X) Combine like terms: 48 + -77 = -29 -5 + X = -29 + -11X Solving -5 + X = -29 + -11X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '11X' to each side of the equation. -5 + X + 11X = -29 + -11X + 11X Combine like terms: X + 11X = 12X -5 + 12X = -29 + -11X + 11X Combine like terms: -11X + 11X = 0 -5 + 12X = -29 + 0 -5 + 12X = -29 Add '5' to each side of the equation. -5 + 5 + 12X = -29 + 5 Combine like terms: -5 + 5 = 0 0 + 12X = -29 + 5 12X = -29 + 5 Combine like terms: -29 + 5 = -24 12X = -24 Divide each side by '12'. X = -2 Simplifying X = -2
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