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Simplifying 5 + -2(x + 8) = -4(x + -2) + -41 Reorder the terms: 5 + -2(8 + x) = -4(x + -2) + -41 5 + (8 * -2 + x * -2) = -4(x + -2) + -41 5 + (-16 + -2x) = -4(x + -2) + -41 Combine like terms: 5 + -16 = -11 -11 + -2x = -4(x + -2) + -41 Reorder the terms: -11 + -2x = -4(-2 + x) + -41 -11 + -2x = (-2 * -4 + x * -4) + -41 -11 + -2x = (8 + -4x) + -41 Reorder the terms: -11 + -2x = 8 + -41 + -4x Combine like terms: 8 + -41 = -33 -11 + -2x = -33 + -4x Solving -11 + -2x = -33 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -11 + -2x + 4x = -33 + -4x + 4x Combine like terms: -2x + 4x = 2x -11 + 2x = -33 + -4x + 4x Combine like terms: -4x + 4x = 0 -11 + 2x = -33 + 0 -11 + 2x = -33 Add '11' to each side of the equation. -11 + 11 + 2x = -33 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = -33 + 11 2x = -33 + 11 Combine like terms: -33 + 11 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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